Live analysis

1,013,120

1,013,120 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.).

1,013,120 (one million thirteen thousand one hundred twenty) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 5 × 1,583. Its proper divisors sum to 1,410,400, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7580.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,013,108 1,013,109 1,013,110 1,013,111 1,013,112 1,013,113 1,013,114 1,013,115 1,013,116 1,013,117 1,013,118 1,013,119 1,013,120 1,013,121 1,013,122 1,013,123 1,013,124 1,013,125 1,013,126 1,013,127 1,013,128 1,013,129 1,013,130 1,013,131 1,013,132

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 213,101
Square (n²): 1,026,412,134,400
Cube (n³): 1,039,878,661,603,328,000
Divisor count: 32
σ(n) — sum of divisors: 2,423,520
φ(n) — Euler's totient: 404,992
Sum of prime factors: 1,602

Primality

Prime factorization: 2 ⁷ × 5 × 1583

Nearest primes: 1,013,063 (−57) · 1,013,143 (+23)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 64 · 80 · 128 · 160 · 320 · 640 · 1583 · 3166 · 6332 · 7915 · 12664 · 15830 · 25328 · 31660 · 50656 · 63320 · 101312 · 126640 · 202624 · 253280 · 506560 (half) · 1013120

Aliquot sum (sum of proper divisors): 1,410,400

Factor pairs (a × b = 1,013,120)

1 × 1013120

2 × 506560

4 × 253280

5 × 202624

8 × 126640

10 × 101312

16 × 63320

20 × 50656

32 × 31660

40 × 25328

64 × 15830

80 × 12664

128 × 7915

160 × 6332

320 × 3166

640 × 1583

First multiples

1,013,120 · 2,026,240 (double) · 3,039,360 · 4,052,480 · 5,065,600 · 6,078,720 · 7,091,840 · 8,104,960 · 9,118,080 · 10,131,200

Sums & aliquot sequence

As consecutive integers: 202,622 + 202,623 + 202,624 + 202,625 + 202,626 3,830 + 3,831 + … + 4,085 152 + 153 + … + 1,431

Aliquot sequence: 1,013,120 → 1,410,400 → 2,198,744 → 1,923,916 → 1,442,944 → 1,431,926 → 715,966 → 357,986 → 210,634 → 137,846 → 70,714 → 50,534 → 32,194 → 16,100 → 25,564 → 30,884 → 30,940 — unresolved within range

Continued fraction of √n

√1,013,120 = [1006; (1, 1, 5, 1, 35, 1, 3, 11, 1, 1, 1, 15, 1, 48, 6, 3, 1, 2, 3, 4, 5, 2, 1, 2, …)]

Representations

In words: one million thirteen thousand one hundred twenty
Ordinal: 1013120th
Binary: 11110111010110000000
Octal: 3672600
Hexadecimal: 0xF7580
Base64: D3WA
One's complement: 4,293,954,175 (32-bit)
Scientific notation: 1.01312 × 10⁶
As a duration: 1,013,120 s = 11 days, 17 hours, 25 minutes, 20 seconds

In other bases

ternary (3) 1220110201222

quaternary (4) 3313112000

quinary (5) 224404440

senary (6) 33414212

septenary (7) 11416463

nonary (9) 1813658

undecimal (11) 632199

duodecimal (12) 40a368

tridecimal (13) 2961a4

tetradecimal (14) 1c52da

pentadecimal (15) 1502b5

As an angle

1,013,120° = 2,814 × 360° + 80°

80° ≈ 1.396 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓎆𓎆
Chinese: 一百零一萬三千一百二十
Chinese (financial): 壹佰零壹萬參仟壹佰貳拾

In other modern scripts

Eastern Arabic ١٠١٣١٢٠ Devanagari १०१३१२० Bengali ১০১৩১২০ Tamil ௧௦௧௩௧௨௦ Thai ๑๐๑๓๑๒๐ Tibetan ༡༠༡༣༡༢༠ Khmer ១០១៣១២០ Lao ໑໐໑໓໑໒໐ Burmese ၁၀၁၃၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013120, here are decompositions:

67 + 1013053 = 1013120
79 + 1013041 = 1013120
127 + 1012993 = 1013120
139 + 1012981 = 1013120
331 + 1012789 = 1013120
349 + 1012771 = 1013120
421 + 1012699 = 1013120
457 + 1012663 = 1013120

Showing the first eight; more decompositions exist.

Hex color

#0F7580

RGB(15, 117, 128)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.128.

Address: 0.15.117.128
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.117.128

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 3120 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3120-10-01 (MMDYYYY (US, single-digit day))
3120-01-10 (DDMYYYY (Euro, single-digit month))

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 1,013,120 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 US1,013,120 on Google Patents ↗ Look up on USPTO ↗