Live analysis

1,001,120

1,001,120 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.).

1,001,120 (one million one thousand one hundred twenty) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 5 × 6,257. Its proper divisors sum to 1,364,404, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF46A0.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,001,108 1,001,109 1,001,110 1,001,111 1,001,112 1,001,113 1,001,114 1,001,115 1,001,116 1,001,117 1,001,118 1,001,119 1,001,120 1,001,121 1,001,122 1,001,123 1,001,124 1,001,125 1,001,126 1,001,127 1,001,128 1,001,129 1,001,130 1,001,131 1,001,132

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 5
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 211,001
Square (n²): 1,002,241,254,400
Cube (n³): 1,003,363,764,604,928,000
Divisor count: 24
σ(n) — sum of divisors: 2,365,524
φ(n) — Euler's totient: 400,384
Sum of prime factors: 6,272

Primality

Prime factorization: 2 ⁵ × 5 × 6257

Nearest primes: 1,001,107 (−13) · 1,001,123 (+3)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 80 · 160 · 6257 · 12514 · 25028 · 31285 · 50056 · 62570 · 100112 · 125140 · 200224 · 250280 · 500560 (half) · 1001120

Aliquot sum (sum of proper divisors): 1,364,404

Factor pairs (a × b = 1,001,120)

1 × 1001120

2 × 500560

4 × 250280

5 × 200224

8 × 125140

10 × 100112

16 × 62570

20 × 50056

32 × 31285

40 × 25028

80 × 12514

160 × 6257

First multiples

1,001,120 · 2,002,240 (double) · 3,003,360 · 4,004,480 · 5,005,600 · 6,006,720 · 7,007,840 · 8,008,960 · 9,010,080 · 10,011,200

Sums & aliquot sequence

As a sum of two squares: 268² + 964² = 364² + 932²

As consecutive integers: 200,222 + 200,223 + 200,224 + 200,225 + 200,226 15,611 + 15,612 + … + 15,674 2,969 + 2,970 + … + 3,288

Aliquot sequence: 1,001,120 → 1,364,404 → 1,032,620 → 1,135,924 → 938,540 → 1,051,252 → 797,168 → 747,376 → 907,776 → 1,725,426 → 2,013,036 → 2,711,124 → 4,862,316 → 6,518,788 → 5,261,204 → 5,407,468 → 5,095,892 — unresolved within range

Continued fraction of √n

√1,001,120 = [1000; (1, 1, 3, 1, 2, 9, 1, 5, 1, 1, 1, 11, 1, 1, 4, 3, 2, 4, 1, 1, 3, 1, 5, 1, …)]

Representations

In words: one million one thousand one hundred twenty
Ordinal: 1001120th
Binary: 11110100011010100000
Octal: 3643240
Hexadecimal: 0xF46A0
Base64: D0ag
One's complement: 4,293,966,175 (32-bit)
Scientific notation: 1.00112 × 10⁶
As a duration: 1,001,120 s = 11 days, 14 hours, 5 minutes, 20 seconds

In other bases

ternary (3) 1212212021112

quaternary (4) 3310122200

quinary (5) 224013440

senary (6) 33242452

septenary (7) 11336501

nonary (9) 1785245

undecimal (11) 62417a

duodecimal (12) 403428

tridecimal (13) 2908a3

tetradecimal (14) 1c0ba8

pentadecimal (15) 14b965

As an angle

1,001,120° = 2,780 × 360° + 320°

320° ≈ 5.585 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓍢𓎆𓎆
Chinese: 一百萬一千一百二十
Chinese (financial): 壹佰萬壹仟壹佰貳拾

In other modern scripts

Eastern Arabic ١٠٠١١٢٠ Devanagari १००११२० Bengali ১০০১১২০ Tamil ௧௦௦௧௧௨௦ Thai ๑๐๐๑๑๒๐ Tibetan ༡༠༠༡༡༢༠ Khmer ១០០១១២០ Lao ໑໐໐໑໑໒໐ Burmese ၁၀၀၁၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001120, here are decompositions:

13 + 1001107 = 1001120
31 + 1001089 = 1001120
79 + 1001041 = 1001120
97 + 1001023 = 1001120
103 + 1001017 = 1001120
139 + 1000981 = 1001120
151 + 1000969 = 1001120
199 + 1000921 = 1001120

Showing the first eight; more decompositions exist.

Hex color

#0F46A0

RGB(15, 70, 160)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.160.

Address: 0.15.70.160
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.70.160

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 1,001,120 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 US1,001,120 on Google Patents ↗ Look up on USPTO ↗