Live analysis

109,720

109,720 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.).

109,720 (one hundred nine thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 13 × 211. Its proper divisors sum to 157,400, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1AC98.

Abundant Number Evil Number Gapful Number Practical Number Recamán's Sequence Semiperfect Number Smith Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

109,708 109,709 109,710 109,711 109,712 109,713 109,714 109,715 109,716 109,717 109,718 109,719 109,720 109,721 109,722 109,723 109,724 109,725 109,726 109,727 109,728 109,729 109,730 109,731 109,732

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 17 bits
Reversed: 27,901
Recamán's sequence: a(249,856) = 109,720
Square (n²): 12,038,478,400
Cube (n³): 1,320,861,850,048,000
Divisor count: 32
σ(n) — sum of divisors: 267,120
φ(n) — Euler's totient: 40,320
Sum of prime factors: 235

Primality

Prime factorization: 2 ³ × 5 × 13 × 211

Nearest primes: 109,717 (−3) · 109,721 (+1)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 5 · 8 · 10 · 13 · 20 · 26 · 40 · 52 · 65 · 104 · 130 · 211 · 260 · 422 · 520 · 844 · 1055 · 1688 · 2110 · 2743 · 4220 · 5486 · 8440 · 10972 · 13715 · 21944 · 27430 · 54860 (half) · 109720

Aliquot sum (sum of proper divisors): 157,400

Factor pairs (a × b = 109,720)

1 × 109720

2 × 54860

4 × 27430

5 × 21944

8 × 13715

10 × 10972

13 × 8440

20 × 5486

26 × 4220

40 × 2743

52 × 2110

65 × 1688

104 × 1055

130 × 844

211 × 520

260 × 422

First multiples

109,720 · 219,440 (double) · 329,160 · 438,880 · 548,600 · 658,320 · 768,040 · 877,760 · 987,480 · 1,097,200

Sums & aliquot sequence

As consecutive integers: 21,942 + 21,943 + 21,944 + 21,945 + 21,946 8,434 + 8,435 + … + 8,446 6,850 + 6,851 + … + 6,865 1,656 + 1,657 + … + 1,720

Aliquot sequence: 109,720 → 157,400 → 209,020 → 292,964 → 293,020 → 511,364 → 530,026 → 442,550 → 401,146 → 200,576 → 199,264 → 224,096 → 229,504 → 272,336 → 255,346 → 244,622 → 181,330 — unresolved within range

Continued fraction of √n

√109,720 = [331; (4, 6, 16, 1, 4, 1, 3, 2, 1, 72, 1, 10, 1, 5, 2, 1, 1, 4, 1, 12, 1, 2, 3, 7, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words: one hundred nine thousand seven hundred twenty
Ordinal: 109720th
Binary: 11010110010011000
Octal: 326230
Hexadecimal: 0x1AC98
Base64: AayY
One's complement: 4,294,857,575 (32-bit)
Scientific notation: 1.0972 × 10⁵
As a duration: 109,720 s = 1 day, 6 hours, 28 minutes, 40 seconds

In other bases

ternary (3) 12120111201

quaternary (4) 122302120

quinary (5) 12002340

senary (6) 2203544

septenary (7) 634612

nonary (9) 176451

undecimal (11) 75486

duodecimal (12) 535b4

tridecimal (13) 3ac30

tetradecimal (14) 2bdb2

pentadecimal (15) 2279a

Palindromic in base 14

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵ρθψκʹ
Mayan (base 20): 𝋭·𝋮·𝋦·𝋠
Chinese: 一十萬九千七百二十
Chinese (financial): 壹拾萬玖仟柒佰貳拾

In other modern scripts

Eastern Arabic ١٠٩٧٢٠ Devanagari १०९७२० Bengali ১০৯৭২০ Tamil ௧௦௯௭௨௦ Thai ๑๐๙๗๒๐ Tibetan ༡༠༩༧༢༠ Khmer ១០៩៧២០ Lao ໑໐໙໗໒໐ Burmese ၁၀၉၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 109720, here are decompositions:

3 + 109717 = 109720
47 + 109673 = 109720
59 + 109661 = 109720
101 + 109619 = 109720
131 + 109589 = 109720
137 + 109583 = 109720
173 + 109547 = 109720
179 + 109541 = 109720

Showing the first eight; more decompositions exist.

Hex color

#01AC98

RGB(1, 172, 152)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.172.152.

Address: 0.1.172.152
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.172.152

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 109,720 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US109,720 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 109720 first appears in π at position 182,203 of the decimal expansion (the 182,203ordinal-suffix:rd 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 109720 on Pi Search ↗