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114107936 = 2515432311
BaseRepresentation
bin1101100110100…
…10011000100000
321221201021122212
412303102120200
5213202423221
615153421252
72553621125
oct663223040
9257637585
10114107936
1159457a88
123226a828
131a8430b7
141122474c
15a03eb5b
hex6cd2620

114107936 has 24 divisors (see below), whose sum is σ = 224892864. Its totient is φ = 56992320.

The previous prime is 114107933. The next prime is 114107951. The reversal of 114107936 is 639701411.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (114107933) 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 3 ways as a sum of consecutive naturals, for example, 48221 + ... + 50531.

It is an arithmetic number, because the mean of its divisors is an integer number (9370536).

Almost surely, 2114107936 is an apocalyptic number.

114107936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114107936 is a deficient number, since it is larger than the sum of its proper divisors (110784928).

114107936 is a wasteful number, since it uses less digits than its factorization.

114107936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3864 (or 3856 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 114107936 is about 10682.1316224806. The cubic root of 114107936 is about 485.0337398145.

The spelling of 114107936 in words is "one hundred fourteen million, one hundred seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 1543 2311 3086 4622 6172 9244 12344 18488 24688 36976 49376 73952 3565873 7131746 14263492 28526984 57053968 114107936