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113627430 = 23257180361
BaseRepresentation
bin1101100010111…
…01000100100110
321220210212112100
412301131010212
5213042034210
615135232530
72546550210
oct661350446
9256725470
10113627430
1159159a74
1232078746
131a705487
141113b5b0
159e975c0
hex6c5d126

113627430 has 48 divisors (see below), whose sum is σ = 337637664. Its totient is φ = 25971840.

The previous prime is 113627419. The next prime is 113627447. The reversal of 113627430 is 34726311.

113627430 is a `hidden beast` number, since 1 + 1 + 3 + 627 + 4 + 30 = 666.

It is a super-2 number, since 2×1136274302 = 25822385696809800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113627394 and 113627403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89551 + ... + 90810.

It is an arithmetic number, because the mean of its divisors is an integer number (7034118).

Almost surely, 2113627430 is an apocalyptic number.

113627430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

113627430 is an abundant number, since it is smaller than the sum of its proper divisors (224010234).

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

113627430 is a wasteful number, since it uses less digits than its factorization.

113627430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180381 (or 180378 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 113627430 is about 10659.6167848568. The cubic root of 113627430 is about 484.3519598059.

The spelling of 113627430 in words is "one hundred thirteen million, six hundred twenty-seven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 180361 360722 541083 901805 1082166 1262527 1623249 1803610 2525054 2705415 3246498 3787581 5410830 6312635 7575162 8116245 11362743 12625270 16232490 18937905 22725486 37875810 56813715 113627430