Live analysis

1,020,072

1,020,072 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.).

1,020,072 (one million twenty thousand seventy-two) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 19 × 2,237. Its proper divisors sum to 1,665,528, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF90A8.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,020,060 1,020,061 1,020,062 1,020,063 1,020,064 1,020,065 1,020,066 1,020,067 1,020,068 1,020,069 1,020,070 1,020,071 1,020,072 1,020,073 1,020,074 1,020,075 1,020,076 1,020,077 1,020,078 1,020,079 1,020,080 1,020,081 1,020,082 1,020,083 1,020,084

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 2,700,201
Square (n²): 1,040,546,885,184
Cube (n³): 1,061,432,742,263,413,248
Divisor count: 32
σ(n) — sum of divisors: 2,685,600
φ(n) — Euler's totient: 321,984
Sum of prime factors: 2,265

Primality

Prime factorization: 2 ³ × 3 × 19 × 2237

Nearest primes: 1,020,059 (−13) · 1,020,077 (+5)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 19 · 24 · 38 · 57 · 76 · 114 · 152 · 228 · 456 · 2237 · 4474 · 6711 · 8948 · 13422 · 17896 · 26844 · 42503 · 53688 · 85006 · 127509 · 170012 · 255018 · 340024 · 510036 (half) · 1020072

Aliquot sum (sum of proper divisors): 1,665,528

Factor pairs (a × b = 1,020,072)

1 × 1020072

2 × 510036

3 × 340024

4 × 255018

6 × 170012

8 × 127509

12 × 85006

19 × 53688

24 × 42503

38 × 26844

57 × 17896

76 × 13422

114 × 8948

152 × 6711

228 × 4474

456 × 2237

First multiples

1,020,072 · 2,040,144 (double) · 3,060,216 · 4,080,288 · 5,100,360 · 6,120,432 · 7,140,504 · 8,160,576 · 9,180,648 · 10,200,720

Sums & aliquot sequence

As consecutive integers: 340,023 + 340,024 + 340,025 63,747 + 63,748 + … + 63,762 53,679 + 53,680 + … + 53,697 21,228 + 21,229 + … + 21,275

Aliquot sequence: 1,020,072 → 1,665,528 → 2,643,672 → 4,081,128 → 6,121,752 → 12,721,128 → 23,625,432 → 42,807,108 → 57,076,172 → 42,807,136 → 41,469,476 → 34,921,804 → 27,312,116 → 25,824,268 → 23,391,332 → 17,543,506 → 9,405,518 — unresolved within range

Continued fraction of √n

√1,020,072 = [1009; (1, 71, 7, 41, 12, 3, 2, 2, 1, 1, 6, 2, 4, 1, 4, 4, 13, 1, 7, 1, 13, 4, 4, 1, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words: one million twenty thousand seventy-two
Ordinal: 1020072nd
Binary: 11111001000010101000
Octal: 3710250
Hexadecimal: 0xF90A8
Base64: D5Co
One's complement: 4,293,947,223 (32-bit)
Scientific notation: 1.020072 × 10⁶
As a duration: 1,020,072 s = 11 days, 19 hours, 21 minutes, 12 seconds

In other bases

ternary (3) 1220211021110

quaternary (4) 3321002220

quinary (5) 230120242

senary (6) 33510320

septenary (7) 11445654

nonary (9) 1824243

undecimal (11) 637439

duodecimal (12) 4123a0

tridecimal (13) 2993c1

tetradecimal (14) 1c7a64

pentadecimal (15) 15239c

As an angle

1,020,072° = 2,833 × 360° + 192°

192° ≈ 3.351 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百零二萬零七十二
Chinese (financial): 壹佰零貳萬零柒拾貳

In other modern scripts

Eastern Arabic ١٠٢٠٠٧٢ Devanagari १०२००७२ Bengali ১০২০০৭২ Tamil ௧௦௨௦௦௭௨ Thai ๑๐๒๐๐๗๒ Tibetan ༡༠༢༠༠༧༢ Khmer ១០២០០៧២ Lao ໑໐໒໐໐໗໒ Burmese ၁၀၂၀၀၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1020072, here are decompositions:

13 + 1020059 = 1020072
23 + 1020049 = 1020072
29 + 1020043 = 1020072
59 + 1020013 = 1020072
61 + 1020011 = 1020072
71 + 1020001 = 1020072
101 + 1019971 = 1020072
173 + 1019899 = 1020072

Showing the first eight; more decompositions exist.

Hex color

#0F90A8

RGB(15, 144, 168)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.144.168.

Address: 0.15.144.168
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.144.168

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 2, 0072 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

0072-02-01 (DMMYYYY (Euro, single-digit day))
0072-10-02 (MMDYYYY (US, single-digit day))
0072-02-10 (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 1,020,072 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 US1,020,072 on Google Patents ↗ Look up on USPTO ↗