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113914593 = 3413251431
BaseRepresentation
bin1101100101000…
…11001011100001
321221100110110000
412302203023201
5213130231333
615145330213
72552154342
oct662431341
9257313400
10113914593
11593357a1
1232196969
131a7a60b0
14111b40c9
15a002713
hex6ca32e1

113914593 has 40 divisors (see below), whose sum is σ = 184415616. Its totient is φ = 69660000.

The previous prime is 113914589. The next prime is 113914597. The reversal of 113914593 is 395419311.

113914593 is a `hidden beast` number, since 113 + 91 + 459 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (113914589) and next prime (113914597).

It is not a de Polignac number, because 113914593 - 22 = 113914589 is a prime.

It is not an unprimeable number, because it can be changed into a prime (113914597) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 264088 + ... + 264518.

Almost surely, 2113914593 is an apocalyptic number.

113914593 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

113914593 is a deficient number, since it is larger than the sum of its proper divisors (70501023).

113914593 is a wasteful number, since it uses less digits than its factorization.

113914593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 698 counting only the distinct ones).

The product of its digits is 14580, while the sum is 36.

The square root of 113914593 is about 10673.0779534303. The cubic root of 113914593 is about 484.7596399961.

The spelling of 113914593 in words is "one hundred thirteen million, nine hundred fourteen thousand, five hundred ninety-three".

Divisors: 1 3 9 13 27 39 81 117 251 351 431 753 1053 1293 2259 3263 3879 5603 6777 9789 11637 16809 20331 29367 34911 50427 88101 108181 151281 264303 324543 453843 973629 1406353 2920887 4219059 8762661 12657177 37971531 113914593