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107012520 = 23325297257
BaseRepresentation
bin1100110000011…
…10000110101000
321110100210120200
412120032012220
5204343400040
614341352200
72436406566
oct630160650
9243323520
10107012520
11554510aa
122ba08660
131922a624
14102d8a36
1595dc630
hex660e1a8

107012520 has 48 divisors (see below), whose sum is σ = 347791860. Its totient is φ = 28536576.

The previous prime is 107012513. The next prime is 107012533. The reversal of 107012520 is 25210701.

It can be written as a sum of positive squares in 2 ways, for example, as 104407524 + 2604996 = 10218^2 + 1614^2 .

It is a super-2 number, since 2×1070125202 = 22903358873500800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 107012493 and 107012502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148269 + ... + 148988.

Almost surely, 2107012520 is an apocalyptic number.

107012520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107012520 is an abundant number, since it is smaller than the sum of its proper divisors (240779340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107012520 is a wasteful number, since it uses less digits than its factorization.

107012520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297274 (or 297267 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 107012520 is about 10344.6855921289. The cubic root of 107012520 is about 474.7644557008.

The spelling of 107012520 in words is "one hundred seven million, twelve thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 297257 594514 891771 1189028 1486285 1783542 2378056 2675313 2972570 3567084 4458855 5350626 5945140 7134168 8917710 10701252 11890280 13376565 17835420 21402504 26753130 35670840 53506260 107012520