Live analysis

1,000,920

1,000,920 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.).

1,000,920 (one million nine hundred twenty) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 19 × 439. Its proper divisors sum to 2,167,080, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF45D8.

Abundant Number Arithmetic Number Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,000,908 1,000,909 1,000,910 1,000,911 1,000,912 1,000,913 1,000,914 1,000,915 1,000,916 1,000,917 1,000,918 1,000,919 1,000,920 1,000,921 1,000,922 1,000,923 1,000,924 1,000,925 1,000,926 1,000,927 1,000,928 1,000,929 1,000,930 1,000,931 1,000,932

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 290,001
Square (n²): 1,001,840,846,400
Cube (n³): 1,002,762,539,978,688,000
Divisor count: 64
σ(n) — sum of divisors: 3,168,000
φ(n) — Euler's totient: 252,288
Sum of prime factors: 472

Primality

Prime factorization: 2 ³ × 3 × 5 × 19 × 439

Nearest primes: 1,000,919 (−1) · 1,000,921 (+1)

Divisors & multiples

All divisors (64)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 19 · 20 · 24 · 30 · 38 · 40 · 57 · 60 · 76 · 95 · 114 · 120 · 152 · 190 · 228 · 285 · 380 · 439 · 456 · 570 · 760 · 878 · 1140 · 1317 · 1756 · 2195 · 2280 · 2634 · 3512 · 4390 · 5268 · 6585 · 8341 · 8780 · 10536 · 13170 · 16682 · 17560 · 25023 · 26340 · 33364 · 41705 · 50046 · 52680 · 66728 · 83410 · 100092 · 125115 · 166820 · 200184 · 250230 · 333640 · 500460 (half) · 1000920

Aliquot sum (sum of proper divisors): 2,167,080

Factor pairs (a × b = 1,000,920)

1 × 1000920

2 × 500460

3 × 333640

4 × 250230

5 × 200184

6 × 166820

8 × 125115

10 × 100092

12 × 83410

15 × 66728

19 × 52680

20 × 50046

24 × 41705

30 × 33364

38 × 26340

40 × 25023

57 × 17560

60 × 16682

76 × 13170

95 × 10536

114 × 8780

120 × 8341

152 × 6585

190 × 5268

228 × 4390

285 × 3512

380 × 2634

439 × 2280

456 × 2195

570 × 1756

760 × 1317

878 × 1140

First multiples

1,000,920 · 2,001,840 (double) · 3,002,760 · 4,003,680 · 5,004,600 · 6,005,520 · 7,006,440 · 8,007,360 · 9,008,280 · 10,009,200

Sums & aliquot sequence

As consecutive integers: 333,639 + 333,640 + 333,641 200,182 + 200,183 + 200,184 + 200,185 + 200,186 66,721 + 66,722 + … + 66,735 62,550 + 62,551 + … + 62,565

Aliquot sequence: 1,000,920 → 2,167,080 → 4,334,520 → 9,001,320 → 18,003,000 → 41,638,920 → 85,654,200 → 179,875,680 → 386,734,224 → 671,099,856 → 1,310,243,568 → 2,087,754,720 → 4,488,674,160 → 9,432,684,816 → 15,084,600,144 — keeps growing

Continued fraction of √n

√1,000,920 = [1000; (2, 5, 1, 2, 1, 3, 23, 1, 1, 4, 4, 1, 3, 1, 5, 40, 1, 1, 1, 25, 1, 1, 1, 40, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words: one million nine hundred twenty
Ordinal: 1000920th
Binary: 11110100010111011000
Octal: 3642730
Hexadecimal: 0xF45D8
Base64: D0XY
One's complement: 4,293,966,375 (32-bit)
Scientific notation: 1.00092 × 10⁶
As a duration: 1,000,920 s = 11 days, 14 hours, 2 minutes

In other bases

ternary (3) 1212212000010

quaternary (4) 3310113120

quinary (5) 224012140

senary (6) 33241520

septenary (7) 11336064

nonary (9) 1785003

undecimal (11) 624008

duodecimal (12) 4032a0

tridecimal (13) 29077b

tetradecimal (14) 1c0aa4

pentadecimal (15) 14b880

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Chinese: 一百萬零九百二十
Chinese (financial): 壹佰萬零玖佰貳拾

In other modern scripts

Eastern Arabic ١٠٠٠٩٢٠ Devanagari १०००९२० Bengali ১০০০৯২০ Tamil ௧௦௦௦௯௨௦ Thai ๑๐๐๐๙๒๐ Tibetan ༡༠༠༠༩༢༠ Khmer ១០០០៩២០ Lao ໑໐໐໐໙໒໐ Burmese ၁၀၀၀၉၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1000920, here are decompositions:

13 + 1000907 = 1000920
31 + 1000889 = 1000920
59 + 1000861 = 1000920
61 + 1000859 = 1000920
71 + 1000849 = 1000920
73 + 1000847 = 1000920
127 + 1000793 = 1000920
157 + 1000763 = 1000920

Showing the first eight; more decompositions exist.

Hex color

#0F45D8

RGB(15, 69, 216)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.69.216.

Address: 0.15.69.216
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.69.216

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 1,000,920 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 US1,000,920 on Google Patents ↗ Look up on USPTO ↗