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120,015

120,015 is a composite number, 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.).

120,015 (one hundred twenty thousand fifteen) is an odd 6-digit number. It is a composite number with 32 divisors, and factors as 3³ × 5 × 7 × 127. Its proper divisors sum to 125,745, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D4CF.

Abundant Number Arithmetic Number Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
510,021
Recamán's sequence
a(240,066) = 120,015
Square (n²)
14,403,600,225
Cube (n³)
1,728,648,081,003,375
Divisor count
32
σ(n) — sum of divisors
245,760
φ(n) — Euler's totient
54,432
Sum of prime factors
148

Primality

Prime factorization: 3 3 × 5 × 7 × 127

Nearest primes: 120,011 (−4) · 120,017 (+2)

Divisors & multiples

All divisors (32)
1 · 3 · 5 · 7 · 9 · 15 · 21 · 27 · 35 · 45 · 63 · 105 · 127 · 135 · 189 · 315 · 381 · 635 · 889 · 945 · 1143 · 1905 · 2667 · 3429 · 4445 · 5715 · 8001 · 13335 · 17145 · 24003 · 40005 · 120015
Aliquot sum (sum of proper divisors): 125,745
Factor pairs (a × b = 120,015)
1 × 120015
3 × 40005
5 × 24003
7 × 17145
9 × 13335
15 × 8001
21 × 5715
27 × 4445
35 × 3429
45 × 2667
63 × 1905
105 × 1143
127 × 945
135 × 889
189 × 635
315 × 381
First multiples
120,015 · 240,030 (double) · 360,045 · 480,060 · 600,075 · 720,090 · 840,105 · 960,120 · 1,080,135 · 1,200,150

Sums & aliquot sequence

As consecutive integers: 60,007 + 60,008 40,004 + 40,005 + 40,006 24,001 + 24,002 + 24,003 + 24,004 + 24,005 20,000 + 20,001 + 20,002 + 20,003 + 20,004 + 20,005
Aliquot sequence: 120,015 125,745 79,887 30,193 387 185 43 1 0 — terminates at zero

Continued fraction of √n

√120,015 = [346; (2, 3, 6, 76, 1, 4, 1, 2, 1, 4, 1, 76, 6, 3, 2, 692)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand fifteen
Ordinal
120015th
Binary
11101010011001111
Octal
352317
Hexadecimal
0x1D4CF
Base64
AdTP
One's complement
4,294,847,280 (32-bit)
Scientific notation
1.20015 × 10⁵
As a duration
120,015 s = 1 day, 9 hours, 20 minutes, 15 seconds
In other bases
ternary (3) 20002122000
quaternary (4) 131103033
quinary (5) 12320030
senary (6) 2323343
septenary (7) 1006620
nonary (9) 202560
undecimal (11) 82195
duodecimal (12) 59553
tridecimal (13) 4281c
tetradecimal (14) 31a47
pentadecimal (15) 25860

As an angle

120,015° = 333 × 360° + 135°
135° ≈ 2.356 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκιεʹ
Mayan (base 20)
𝋯·𝋠·𝋠·𝋯
Chinese
一十二萬零一十五
Chinese (financial)
壹拾貳萬零壹拾伍
In other modern scripts
Eastern Arabic ١٢٠٠١٥ Devanagari १२००१५ Bengali ১২০০১৫ Tamil ௧௨௦௦௧௫ Thai ๑๒๐๐๑๕ Tibetan ༡༢༠༠༡༥ Khmer ១២០០១៥ Lao ໑໒໐໐໑໕ Burmese ၁၂၀၀၁၅

Also seen as

Unicode codepoint
𝓏
Mathematical Script Small Z
U+1D4CF
Lowercase letter (Ll)

UTF-8 encoding: F0 9D 93 8F (4 bytes).

Hex color
#01D4CF
RGB(1, 212, 207)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.212.207.

Address
0.1.212.207
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.212.207

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 120,015 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 120015 first appears in π at position 724,516 of the decimal expansion (the 724,516ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.