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120,709

120,709 is a prime, odd.

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.).

120,709 (one hundred twenty thousand seven hundred nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1D785.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
907,021
Square (n²)
14,570,662,681
Cube (n³)
1,758,810,121,560,829
Divisor count
2
σ(n) — sum of divisors
120,710
φ(n) — Euler's totient
120,708

Primality

120,709 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 120709
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 120,709)
1 × 120709
First multiples
120,709 · 241,418 (double) · 362,127 · 482,836 · 603,545 · 724,254 · 844,963 · 965,672 · 1,086,381 · 1,207,090

Sums & aliquot sequence

As a sum of two squares: 170² + 303²
As consecutive integers: 60,354 + 60,355

Continued fraction of √n

√120,709 = [347; (2, 3, 5, 1, 1, 1, 7, 1, 1, 1, 1, 1, 18, 1, 2, 8, 1, 12, 2, 7, 1, 3, 1, 3, …)]

Representations

In words
one hundred twenty thousand seven hundred nine
Ordinal
120709th
Binary
11101011110000101
Octal
353605
Hexadecimal
0x1D785
Base64
AdeF
One's complement
4,294,846,586 (32-bit)
Scientific notation
1.20709 × 10⁵
As a duration
120,709 s = 1 day, 9 hours, 31 minutes, 49 seconds
In other bases
ternary (3) 20010120201
quaternary (4) 131132011
quinary (5) 12330314
senary (6) 2330501
septenary (7) 1011631
nonary (9) 203521
undecimal (11) 82766
duodecimal (12) 59a31
tridecimal (13) 42c34
tetradecimal (14) 31dc1
pentadecimal (15) 25b74

As an angle

120,709° = 335 × 360° + 109°
109° ≈ 1.902 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκψθʹ
Mayan (base 20)
𝋯·𝋡·𝋯·𝋩
Chinese
一十二萬零七百零九
Chinese (financial)
壹拾貳萬零柒佰零玖
In other modern scripts
Eastern Arabic ١٢٠٧٠٩ Devanagari १२०७०९ Bengali ১২০৭০৯ Tamil ௧௨௦௭௦௯ Thai ๑๒๐๗๐๙ Tibetan ༡༢༠༧༠༩ Khmer ១២០៧០៩ Lao ໑໒໐໗໐໙ Burmese ၁၂၀၇၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 120713.

Unicode codepoint
𝞅
Mathematical Sans-Serif Bold Small Phi
U+1D785
Lowercase letter (Ll)

UTF-8 encoding: F0 9D 9E 85 (4 bytes).

Hex color
#01D785
RGB(1, 215, 133)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.215.133.

Address
0.1.215.133
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.215.133

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 120,709 and was likely granted around 1871.

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

Position in π

The digit sequence 120709 first appears in π at position 943,668 of the decimal expansion (the 943,668ordinal-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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.