146,520
146,520 is a composite number, even.
146,520 (one hundred forty-six thousand five hundred twenty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3² × 5 × 11 × 37. Its proper divisors sum to 387,000, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23C58.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 25,641
- Recamán's sequence
- a(215,376) = 146,520
- Square (n²)
- 21,468,110,400
- Cube (n³)
- 3,145,507,535,808,000
- Divisor count
- 96
- σ(n) — sum of divisors
- 533,520
- φ(n) — Euler's totient
- 34,560
- Sum of prime factors
- 65
Primality
Prime factorization: 2 3 × 3 2 × 5 × 11 × 37
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√146,520 = [382; (1, 3, 1, 1, 7, 1, 1, 84, 1, 1, 7, 1, 1, 3, 1, 764)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- one hundred forty-six thousand five hundred twenty
- Ordinal
- 146520th
- Binary
- 100011110001011000
- Octal
- 436130
- Hexadecimal
- 0x23C58
- Base64
- AjxY
- One's complement
- 4,294,820,775 (32-bit)
- Scientific notation
- 1.4652 × 10⁵
- As a duration
- 146,520 s = 1 day, 16 hours, 42 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρμϛφκʹ
- Mayan (base 20)
- 𝋲·𝋦·𝋦·𝋠
- Chinese
- 一十四萬六千五百二十
- Chinese (financial)
- 壹拾肆萬陸仟伍佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 146520, here are decompositions:
- 7 + 146513 = 146520
- 43 + 146477 = 146520
- 71 + 146449 = 146520
- 83 + 146437 = 146520
- 97 + 146423 = 146520
- 103 + 146417 = 146520
- 113 + 146407 = 146520
- 131 + 146389 = 146520
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A3 B1 98 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.60.88.
- Address
- 0.2.60.88
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.60.88
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 146,520 and was likely granted around 1873.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 146520 first appears in π at position 343,783 of the decimal expansion (the 343,783ordinal-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.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.