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147,120

147,120 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.).

147,120 (one hundred forty-seven thousand one hundred twenty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 5 × 613. Its proper divisors sum to 309,696, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23EB0.

Abundant Number Gapful Number Harshad / Niven Odious Number Practical Number Recamán's Sequence Refactorable Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
21,741
Recamán's sequence
a(214,176) = 147,120
Square (n²)
21,644,294,400
Cube (n³)
3,184,308,592,128,000
Divisor count
40
σ(n) — sum of divisors
456,816
φ(n) — Euler's totient
39,168
Sum of prime factors
629

Primality

Prime factorization: 2 4 × 3 × 5 × 613

Nearest primes: 147,107 (−13) · 147,137 (+17)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 40 · 48 · 60 · 80 · 120 · 240 · 613 · 1226 · 1839 · 2452 · 3065 · 3678 · 4904 · 6130 · 7356 · 9195 · 9808 · 12260 · 14712 · 18390 · 24520 · 29424 · 36780 · 49040 · 73560 (half) · 147120
Aliquot sum (sum of proper divisors): 309,696
Factor pairs (a × b = 147,120)
1 × 147120
2 × 73560
3 × 49040
4 × 36780
5 × 29424
6 × 24520
8 × 18390
10 × 14712
12 × 12260
15 × 9808
16 × 9195
20 × 7356
24 × 6130
30 × 4904
40 × 3678
48 × 3065
60 × 2452
80 × 1839
120 × 1226
240 × 613
First multiples
147,120 · 294,240 (double) · 441,360 · 588,480 · 735,600 · 882,720 · 1,029,840 · 1,176,960 · 1,324,080 · 1,471,200

Sums & aliquot sequence

As consecutive integers: 49,039 + 49,040 + 49,041 29,422 + 29,423 + 29,424 + 29,425 + 29,426 9,801 + 9,802 + … + 9,815 4,582 + 4,583 + … + 4,613
Aliquot sequence: 147,120 309,696 510,216 948,024 2,536,776 4,960,584 8,474,526 10,315,674 13,437,594 15,677,232 24,822,408 42,007,992 71,722,848 116,549,880 241,642,920 484,765,080 969,530,520 — unresolved within range

Continued fraction of √n

√147,120 = [383; (1, 1, 3, 1, 1, 15, 10, 1, 2, 1, 5, 1, 2, 2, 1, 3, 1, 5, 6, 3, 1, 1, 1, 8, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-seven thousand one hundred twenty
Ordinal
147120th
Binary
100011111010110000
Octal
437260
Hexadecimal
0x23EB0
Base64
Aj6w
One's complement
4,294,820,175 (32-bit)
Scientific notation
1.4712 × 10⁵
As a duration
147,120 s = 1 day, 16 hours, 52 minutes
In other bases
ternary (3) 21110210220
quaternary (4) 203322300
quinary (5) 14201440
senary (6) 3053040
septenary (7) 1151631
nonary (9) 243726
undecimal (11) a0596
duodecimal (12) 71180
tridecimal (13) 51c6c
tetradecimal (14) 3b888
pentadecimal (15) 2d8d0

As an angle

147,120° = 408 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆
Greek (Milesian)
͵ρμζρκʹ
Mayan (base 20)
𝋲·𝋧·𝋰·𝋠
Chinese
一十四萬七千一百二十
Chinese (financial)
壹拾肆萬柒仟壹佰貳拾
In other modern scripts
Eastern Arabic ١٤٧١٢٠ Devanagari १४७१२० Bengali ১৪৭১২০ Tamil ௧௪௭௧௨௦ Thai ๑๔๗๑๒๐ Tibetan ༡༤༧༡༢༠ Khmer ១៤៧១២០ Lao ໑໔໗໑໒໐ Burmese ၁၄၇၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 147120, here are decompositions:

  • 13 + 147107 = 147120
  • 23 + 147097 = 147120
  • 31 + 147089 = 147120
  • 37 + 147083 = 147120
  • 47 + 147073 = 147120
  • 73 + 147047 = 147120
  • 89 + 147031 = 147120
  • 109 + 147011 = 147120

Showing the first eight; more decompositions exist.

Unicode codepoint
𣺰
CJK Unified Ideograph-23Eb0
U+23EB0
Other letter (Lo)

UTF-8 encoding: F0 A3 BA B0 (4 bytes).

Hex color
#023EB0
RGB(2, 62, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.62.176.

Address
0.2.62.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.62.176

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 147,120 and was likely granted around 1873.

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

Position in π

The digit sequence 147120 first appears in π at position 3,325 of the decimal expansion (the 3,325ordinal-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°.