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113960328 = 23319833011
BaseRepresentation
bin1101100101011…
…10010110001000
321221102210011220
412302232112020
5213133212303
615150322040
72552434566
oct662562610
9257383156
10113960328
1159367099
12321b9320
131a7c0b61
14111c6a36
15a011053
hex6cae588

113960328 has 64 divisors (see below), whose sum is σ = 303609600. Its totient is φ = 35542080.

The previous prime is 113960303. The next prime is 113960369. The reversal of 113960328 is 823069311.

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 15 ways as a sum of consecutive naturals, for example, 36343 + ... + 39353.

It is an arithmetic number, because the mean of its divisors is an integer number (4743900).

Almost surely, 2113960328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113960328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151804800).

113960328 is an abundant number, since it is smaller than the sum of its proper divisors (189649272).

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

113960328 is a wasteful number, since it uses less digits than its factorization.

113960328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3122 (or 3118 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 113960328 is about 10675.2202787577. The cubic root of 113960328 is about 484.8245058902.

The spelling of 113960328 in words is "one hundred thirteen million, nine hundred sixty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 83 114 152 166 228 249 332 456 498 664 996 1577 1992 3011 3154 4731 6022 6308 9033 9462 12044 12616 18066 18924 24088 36132 37848 57209 72264 114418 171627 228836 249913 343254 457672 499826 686508 749739 999652 1373016 1499478 1999304 2998956 4748347 5997912 9496694 14245041 18993388 28490082 37986776 56980164 113960328