Live analysis

1,016,720

1,016,720 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.).

1,016,720 (one million sixteen thousand seven hundred twenty) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 71 × 179. Its proper divisors sum to 1,393,840, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF8390.

Abundant Number Arithmetic Number Gapful Number Happy Number Odious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,016,708 1,016,709 1,016,710 1,016,711 1,016,712 1,016,713 1,016,714 1,016,715 1,016,716 1,016,717 1,016,718 1,016,719 1,016,720 1,016,721 1,016,722 1,016,723 1,016,724 1,016,725 1,016,726 1,016,727 1,016,728 1,016,729 1,016,730 1,016,731 1,016,732

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 276,101
Square (n²): 1,033,719,558,400
Cube (n³): 1,051,003,349,416,448,000
Divisor count: 40
σ(n) — sum of divisors: 2,410,560
φ(n) — Euler's totient: 398,720
Sum of prime factors: 263

Primality

Prime factorization: 2 ⁴ × 5 × 71 × 179

Nearest primes: 1,016,689 (−31) · 1,016,731 (+11)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 71 · 80 · 142 · 179 · 284 · 355 · 358 · 568 · 710 · 716 · 895 · 1136 · 1420 · 1432 · 1790 · 2840 · 2864 · 3580 · 5680 · 7160 · 12709 · 14320 · 25418 · 50836 · 63545 · 101672 · 127090 · 203344 · 254180 · 508360 (half) · 1016720

Aliquot sum (sum of proper divisors): 1,393,840

Factor pairs (a × b = 1,016,720)

1 × 1016720

2 × 508360

4 × 254180

5 × 203344

8 × 127090

10 × 101672

16 × 63545

20 × 50836

40 × 25418

71 × 14320

80 × 12709

142 × 7160

179 × 5680

284 × 3580

355 × 2864

358 × 2840

568 × 1790

710 × 1432

716 × 1420

895 × 1136

First multiples

1,016,720 · 2,033,440 (double) · 3,050,160 · 4,066,880 · 5,083,600 · 6,100,320 · 7,117,040 · 8,133,760 · 9,150,480 · 10,167,200

Sums & aliquot sequence

As consecutive integers: 203,342 + 203,343 + 203,344 + 203,345 + 203,346 31,757 + 31,758 + … + 31,788 14,285 + 14,286 + … + 14,355 6,275 + 6,276 + … + 6,434

Aliquot sequence: 1,016,720 → 1,393,840 → 2,534,480 → 3,814,072 → 3,337,328 → 3,172,672 → 3,205,268 → 2,985,196 → 2,262,956 → 1,781,812 → 1,336,366 → 722,474 → 361,240 → 526,520 → 658,240 → 1,165,988 → 922,252 — unresolved within range

Continued fraction of √n

√1,016,720 = [1008; (3, 13, 1, 1, 2, 1, 5, 1, 1, 1, 1, 6, 36, 1, 1, 16, 6, 3, 1, 4, 1, 4, 1, 3, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words: one million sixteen thousand seven hundred twenty
Ordinal: 1016720th
Binary: 11111000001110010000
Octal: 3701620
Hexadecimal: 0xF8390
Base64: D4OQ
One's complement: 4,293,950,575 (32-bit)
Scientific notation: 1.01672 × 10⁶
As a duration: 1,016,720 s = 11 days, 18 hours, 25 minutes, 20 seconds

In other bases

ternary (3) 1220122200022

quaternary (4) 3320032100

quinary (5) 230013340

senary (6) 33443012

septenary (7) 11433125

nonary (9) 1818608

undecimal (11) 634971

duodecimal (12) 410468

tridecimal (13) 297a13

tetradecimal (14) 1c674c

pentadecimal (15) 1513b5

As an angle

1,016,720° = 2,824 × 360° + 80°

80° ≈ 1.396 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Chinese: 一百零一萬六千七百二十
Chinese (financial): 壹佰零壹萬陸仟柒佰貳拾

In other modern scripts

Eastern Arabic ١٠١٦٧٢٠ Devanagari १०१६७२० Bengali ১০১৬৭২০ Tamil ௧௦௧௬௭௨௦ Thai ๑๐๑๖๗๒๐ Tibetan ༡༠༡༦༧༢༠ Khmer ១០១៦៧២០ Lao ໑໐໑໖໗໒໐ Burmese ၁၀၁၆၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1016720, here are decompositions:

31 + 1016689 = 1016720
79 + 1016641 = 1016720
109 + 1016611 = 1016720
139 + 1016581 = 1016720
151 + 1016569 = 1016720
193 + 1016527 = 1016720
223 + 1016497 = 1016720
349 + 1016371 = 1016720

Showing the first eight; more decompositions exist.

Hex color

#0F8390

RGB(15, 131, 144)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.131.144.

Address: 0.15.131.144
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.131.144

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 6720 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

6720-10-01 (MMDYYYY (US, single-digit day))
6720-01-10 (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 1,016,720 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 US1,016,720 on Google Patents ↗ Look up on USPTO ↗