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146,720

146,720 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.).

146,720 (one hundred forty-six thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 5 × 7 × 131. Its proper divisors sum to 252,448, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23D20.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
27,641
Recamán's sequence
a(214,976) = 146,720
Square (n²)
21,526,758,400
Cube (n³)
3,158,405,992,448,000
Divisor count
48
σ(n) — sum of divisors
399,168
φ(n) — Euler's totient
49,920
Sum of prime factors
153

Primality

Prime factorization: 2 5 × 5 × 7 × 131

Nearest primes: 146,719 (−1) · 146,743 (+23)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 20 · 28 · 32 · 35 · 40 · 56 · 70 · 80 · 112 · 131 · 140 · 160 · 224 · 262 · 280 · 524 · 560 · 655 · 917 · 1048 · 1120 · 1310 · 1834 · 2096 · 2620 · 3668 · 4192 · 4585 · 5240 · 7336 · 9170 · 10480 · 14672 · 18340 · 20960 · 29344 · 36680 · 73360 (half) · 146720
Aliquot sum (sum of proper divisors): 252,448
Factor pairs (a × b = 146,720)
1 × 146720
2 × 73360
4 × 36680
5 × 29344
7 × 20960
8 × 18340
10 × 14672
14 × 10480
16 × 9170
20 × 7336
28 × 5240
32 × 4585
35 × 4192
40 × 3668
56 × 2620
70 × 2096
80 × 1834
112 × 1310
131 × 1120
140 × 1048
160 × 917
224 × 655
262 × 560
280 × 524
First multiples
146,720 · 293,440 (double) · 440,160 · 586,880 · 733,600 · 880,320 · 1,027,040 · 1,173,760 · 1,320,480 · 1,467,200

Sums & aliquot sequence

As consecutive integers: 29,342 + 29,343 + 29,344 + 29,345 + 29,346 20,957 + 20,958 + … + 20,963 4,175 + 4,176 + … + 4,209 2,261 + 2,262 + … + 2,324
Aliquot sequence: 146,720 252,448 352,352 586,096 711,936 1,413,824 1,391,860 1,531,088 1,859,320 2,702,600 3,581,410 3,918,650 3,427,234 2,016,074 1,008,040 1,583,960 2,489,800 — unresolved within range

Continued fraction of √n

√146,720 = [383; (24, 1, 2, 2, 5, 1, 3, 191, 3, 1, 5, 2, 2, 1, 24, 766)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-six thousand seven hundred twenty
Ordinal
146720th
Binary
100011110100100000
Octal
436440
Hexadecimal
0x23D20
Base64
Aj0g
One's complement
4,294,820,575 (32-bit)
Scientific notation
1.4672 × 10⁵
As a duration
146,720 s = 1 day, 16 hours, 45 minutes, 20 seconds
In other bases
ternary (3) 21110021002
quaternary (4) 203310200
quinary (5) 14143340
senary (6) 3051132
septenary (7) 1150520
nonary (9) 243232
undecimal (11) a0262
duodecimal (12) 70aa8
tridecimal (13) 51a22
tetradecimal (14) 3b680
pentadecimal (15) 2d715

As an angle

146,720° = 407 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρμϛψκʹ
Mayan (base 20)
𝋲·𝋦·𝋰·𝋠
Chinese
一十四萬六千七百二十
Chinese (financial)
壹拾肆萬陸仟柒佰貳拾
In other modern scripts
Eastern Arabic ١٤٦٧٢٠ Devanagari १४६७२० Bengali ১৪৬৭২০ Tamil ௧௪௬௭௨௦ Thai ๑๔๖๗๒๐ Tibetan ༡༤༦༧༢༠ Khmer ១៤៦៧២០ Lao ໑໔໖໗໒໐ Burmese ၁၄၆၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 146720, here are decompositions:

  • 19 + 146701 = 146720
  • 37 + 146683 = 146720
  • 43 + 146677 = 146720
  • 73 + 146647 = 146720
  • 103 + 146617 = 146720
  • 139 + 146581 = 146720
  • 157 + 146563 = 146720
  • 181 + 146539 = 146720

Showing the first eight; more decompositions exist.

Unicode codepoint
𣴠
CJK Unified Ideograph-23D20
U+23D20
Other letter (Lo)

UTF-8 encoding: F0 A3 B4 A0 (4 bytes).

Hex color
#023D20
RGB(2, 61, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.61.32.

Address
0.2.61.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.61.32

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 146,720 and was likely granted around 1873.

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

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.