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115356042 = 2334152103
BaseRepresentation
bin1101110000000…
…11000110001010
322001001200202000
412320003012022
5214012343132
615240251430
72600336664
oct670030612
9261050660
10115356042
115a12a77a
1232770b76
131ab8c219
141146b534
15a1d987c
hex6e0318a

115356042 has 32 divisors (see below), whose sum is σ = 262604160. Its totient is φ = 37513440.

The previous prime is 115356041. The next prime is 115356079. The reversal of 115356042 is 240653511.

115356042 is a `hidden beast` number, since 1 + 1 + 53 + 5 + 604 + 2 = 666.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 115355997 and 115356015.

It is not an unprimeable number, because it can be changed into a prime (115356041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 23838 + ... + 28265.

It is an arithmetic number, because the mean of its divisors is an integer number (8206380).

Almost surely, 2115356042 is an apocalyptic number.

115356042 is an abundant number, since it is smaller than the sum of its proper divisors (147248118).

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

115356042 is a wasteful number, since it uses less digits than its factorization.

115356042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52155 (or 52149 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 115356042 is about 10740.3930095691. The cubic root of 115356042 is about 486.7957547308.

The spelling of 115356042 in words is "one hundred fifteen million, three hundred fifty-six thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 738 1107 2214 52103 104206 156309 312618 468927 937854 1406781 2136223 2813562 4272446 6408669 12817338 19226007 38452014 57678021 115356042