Live analysis

1,009,120

1,009,120 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

1,009,120 (one million nine thousand one hundred twenty) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 5 × 7 × 17 × 53. Its proper divisors sum to 1,930,208, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF65E0.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Self Number Weird Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,009,108 1,009,109 1,009,110 1,009,111 1,009,112 1,009,113 1,009,114 1,009,115 1,009,116 1,009,117 1,009,118 1,009,119 1,009,120 1,009,121 1,009,122 1,009,123 1,009,124 1,009,125 1,009,126 1,009,127 1,009,128 1,009,129 1,009,130 1,009,131 1,009,132

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 219,001
Recamán's sequence: a(347,211) = 1,009,120
Square (n²): 1,018,323,174,400
Cube (n³): 1,027,610,281,750,528,000
Divisor count: 96
σ(n) — sum of divisors: 2,939,328
φ(n) — Euler's totient: 319,488
Sum of prime factors: 92

Primality

Prime factorization: 2 ⁵ × 5 × 7 × 17 × 53

Nearest primes: 1,009,097 (−23) · 1,009,121 (+1)

Divisors & multiples

All divisors (96)

1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 17 · 20 · 28 · 32 · 34 · 35 · 40 · 53 · 56 · 68 · 70 · 80 · 85 · 106 · 112 · 119 · 136 · 140 · 160 · 170 · 212 · 224 · 238 · 265 · 272 · 280 · 340 · 371 · 424 · 476 · 530 · 544 · 560 · 595 · 680 · 742 · 848 · 901 · 952 · 1060 · 1120 · 1190 · 1360 · 1484 · 1696 · 1802 · 1855 · 1904 · 2120 · 2380 · 2720 · 2968 · 3604 · 3710 · 3808 · 4240 · 4505 · 4760 · 5936 · 6307 · 7208 · 7420 · 8480 · 9010 · 9520 · 11872 · 12614 · 14416 · 14840 · 18020 · 19040 · 25228 · 28832 · 29680 · 31535 · 36040 · 50456 · 59360 · 63070 · 72080 · 100912 · 126140 · 144160 · 201824 · 252280 · 504560 (half) · 1009120

Aliquot sum (sum of proper divisors): 1,930,208

Factor pairs (a × b = 1,009,120)

1 × 1009120

2 × 504560

4 × 252280

5 × 201824

7 × 144160

8 × 126140

10 × 100912

14 × 72080

16 × 63070

17 × 59360

20 × 50456

28 × 36040

32 × 31535

34 × 29680

35 × 28832

40 × 25228

53 × 19040

56 × 18020

68 × 14840

70 × 14416

80 × 12614

85 × 11872

106 × 9520

112 × 9010

119 × 8480

136 × 7420

140 × 7208

160 × 6307

170 × 5936

212 × 4760

224 × 4505

238 × 4240

265 × 3808

272 × 3710

280 × 3604

340 × 2968

371 × 2720

424 × 2380

476 × 2120

530 × 1904

544 × 1855

560 × 1802

595 × 1696

680 × 1484

742 × 1360

848 × 1190

901 × 1120

952 × 1060

First multiples

1,009,120 · 2,018,240 (double) · 3,027,360 · 4,036,480 · 5,045,600 · 6,054,720 · 7,063,840 · 8,072,960 · 9,082,080 · 10,091,200

Sums & aliquot sequence

As consecutive integers: 201,822 + 201,823 + 201,824 + 201,825 + 201,826 144,157 + 144,158 + … + 144,163 59,352 + 59,353 + … + 59,368 28,815 + 28,816 + … + 28,849

Aliquot sequence: 1,009,120 → 1,930,208 → 2,493,904 → 3,128,690 → 2,870,926 → 1,704,602 → 852,304 → 799,066 → 496,934 → 251,506 → 125,756 → 96,844 → 96,692 → 80,044 → 60,040 → 83,960 → 105,040 — unresolved within range

Continued fraction of √n

√1,009,120 = [1004; (1, 1, 4, 1, 1, 6, 1, 1, 2, 222, 1, 5, 4, 1, 6, 1, 1, 1, 1, 4, 1, 23, 1, 54, …)]

Representations

In words: one million nine thousand one hundred twenty
Ordinal: 1009120th
Binary: 11110110010111100000
Octal: 3662740
Hexadecimal: 0xF65E0
Base64: D2Xg
One's complement: 4,293,958,175 (32-bit)
Scientific notation: 1.00912 × 10⁶
As a duration: 1,009,120 s = 11 days, 16 hours, 18 minutes, 40 seconds

In other bases

ternary (3) 1220021020211

quaternary (4) 3312113200

quinary (5) 224242440

senary (6) 33343504

septenary (7) 11402020

nonary (9) 1807224

undecimal (11) 62a192

duodecimal (12) 407b94

tridecimal (13) 294418

tetradecimal (14) 1c3a80

pentadecimal (15) 14deea

As an angle

1,009,120° = 2,803 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆
Chinese: 一百萬九千一百二十
Chinese (financial): 壹佰萬玖仟壹佰貳拾

In other modern scripts

Eastern Arabic ١٠٠٩١٢٠ Devanagari १००९१२० Bengali ১০০৯১২০ Tamil ௧௦௦௯௧௨௦ Thai ๑๐๐๙๑๒๐ Tibetan ༡༠༠༩༡༢༠ Khmer ១០០៩១២០ Lao ໑໐໐໙໑໒໐ Burmese ၁၀၀၉၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1009120, here are decompositions:

23 + 1009097 = 1009120
59 + 1009061 = 1009120
71 + 1009049 = 1009120
83 + 1009037 = 1009120
113 + 1009007 = 1009120
131 + 1008989 = 1009120
137 + 1008983 = 1009120
173 + 1008947 = 1009120

Showing the first eight; more decompositions exist.

Hex color

#0F65E0

RGB(15, 101, 224)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.101.224.

Address: 0.15.101.224
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.101.224

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,009,120 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,009,120 on Google Patents ↗ Look up on USPTO ↗