Live analysis

1,001,920

1,001,920 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.).

1,001,920 (one million one thousand nine hundred twenty) is an even 7-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 5 × 31 × 101. Its proper divisors sum to 1,485,248, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF49C0.

Abundant Number Gapful Number Odious Number Practical Number Self Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,001,908 1,001,909 1,001,910 1,001,911 1,001,912 1,001,913 1,001,914 1,001,915 1,001,916 1,001,917 1,001,918 1,001,919 1,001,920 1,001,921 1,001,922 1,001,923 1,001,924 1,001,925 1,001,926 1,001,927 1,001,928 1,001,929 1,001,930 1,001,931 1,001,932

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 291,001
Square (n²): 1,003,843,686,400
Cube (n³): 1,005,771,066,277,888,000
Divisor count: 56
σ(n) — sum of divisors: 2,487,168
φ(n) — Euler's totient: 384,000
Sum of prime factors: 149

Primality

Prime factorization: 2 ⁶ × 5 × 31 × 101

Nearest primes: 1,001,911 (−9) · 1,001,933 (+13)

Divisors & multiples

All divisors (56)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 31 · 32 · 40 · 62 · 64 · 80 · 101 · 124 · 155 · 160 · 202 · 248 · 310 · 320 · 404 · 496 · 505 · 620 · 808 · 992 · 1010 · 1240 · 1616 · 1984 · 2020 · 2480 · 3131 · 3232 · 4040 · 4960 · 6262 · 6464 · 8080 · 9920 · 12524 · 15655 · 16160 · 25048 · 31310 · 32320 · 50096 · 62620 · 100192 · 125240 · 200384 · 250480 · 500960 (half) · 1001920

Aliquot sum (sum of proper divisors): 1,485,248

Factor pairs (a × b = 1,001,920)

1 × 1001920

2 × 500960

4 × 250480

5 × 200384

8 × 125240

10 × 100192

16 × 62620

20 × 50096

31 × 32320

32 × 31310

40 × 25048

62 × 16160

64 × 15655

80 × 12524

101 × 9920

124 × 8080

155 × 6464

160 × 6262

202 × 4960

248 × 4040

310 × 3232

320 × 3131

404 × 2480

496 × 2020

505 × 1984

620 × 1616

808 × 1240

992 × 1010

First multiples

1,001,920 · 2,003,840 (double) · 3,005,760 · 4,007,680 · 5,009,600 · 6,011,520 · 7,013,440 · 8,015,360 · 9,017,280 · 10,019,200

Sums & aliquot sequence

As consecutive integers: 200,382 + 200,383 + 200,384 + 200,385 + 200,386 32,305 + 32,306 + … + 32,335 9,870 + 9,871 + … + 9,970 7,764 + 7,765 + … + 7,891

Aliquot sequence: 1,001,920 → 1,485,248 → 1,593,232 → 1,493,686 → 746,846 → 381,298 → 190,652 → 225,988 → 234,458 → 167,494 → 87,026 → 46,138 → 31,622 → 16,594 → 8,300 → 9,928 → 10,052 — unresolved within range

Continued fraction of √n

√1,001,920 = [1000; (1, 23, 1, 2, 1, 1, 15, 1, 1, 2, 1, 23, 1, 2000)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: one million one thousand nine hundred twenty
Ordinal: 1001920th
Binary: 11110100100111000000
Octal: 3644700
Hexadecimal: 0xF49C0
Base64: D0nA
One's complement: 4,293,965,375 (32-bit)
Scientific notation: 1.00192 × 10⁶
As a duration: 1,001,920 s = 11 days, 14 hours, 18 minutes, 40 seconds

In other bases

ternary (3) 1212220101011

quaternary (4) 3310213000

quinary (5) 224030140

senary (6) 33250304

septenary (7) 11342023

nonary (9) 1786334

undecimal (11) 624837

duodecimal (12) 403994

tridecimal (13) 29106a

tetradecimal (14) 1c11ba

pentadecimal (15) 14bcea

As an angle

1,001,920° = 2,783 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Chinese: 一百萬一千九百二十
Chinese (financial): 壹佰萬壹仟玖佰貳拾

In other modern scripts

Eastern Arabic ١٠٠١٩٢٠ Devanagari १००१९२० Bengali ১০০১৯২০ Tamil ௧௦௦௧௯௨௦ Thai ๑๐๐๑๙๒๐ Tibetan ༡༠༠༡༩༢༠ Khmer ១០០១៩២០ Lao ໑໐໐໑໙໒໐ Burmese ၁၀၀၁၉၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001920, here are decompositions:

89 + 1001831 = 1001920
113 + 1001807 = 1001920
137 + 1001783 = 1001920
197 + 1001723 = 1001920
233 + 1001687 = 1001920
251 + 1001669 = 1001920
281 + 1001639 = 1001920
389 + 1001531 = 1001920

Showing the first eight; more decompositions exist.

Hex color

#0F49C0

RGB(15, 73, 192)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.73.192.

Address: 0.15.73.192
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.73.192

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 1,001,920 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 US1,001,920 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1001920 first appears in π at position 628,887 of the decimal expansion (the 628,887ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 1001920 on Pi Search ↗