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113432928 = 2537592861
BaseRepresentation
bin1101100001011…
…01100101100000
321220102222201120
412300231211200
5213014323203
615131132240
72545110150
oct660554540
9256388646
10113432928
1159036924
1231ba4080
131a667a9b
14110ca760
159e59b53
hex6c2d960

113432928 has 96 divisors (see below), whose sum is σ = 346187520. Its totient is φ = 31848960.

The previous prime is 113432927. The next prime is 113432933. The reversal of 113432928 is 829234311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113432923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38218 + ... + 41078.

It is an arithmetic number, because the mean of its divisors is an integer number (3606120).

Almost surely, 2113432928 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 113432928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173093760).

113432928 is an abundant number, since it is smaller than the sum of its proper divisors (232754592).

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

113432928 is a wasteful number, since it uses less digits than its factorization.

113432928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2940 (or 2932 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 113432928 is about 10650.4895662124. The cubic root of 113432928 is about 484.0754384609.

The spelling of 113432928 in words is "one hundred thirteen million, four hundred thirty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 84 96 112 118 168 177 224 236 336 354 413 472 672 708 826 944 1239 1416 1652 1888 2478 2832 2861 3304 4956 5664 5722 6608 8583 9912 11444 13216 17166 19824 20027 22888 34332 39648 40054 45776 60081 68664 80108 91552 120162 137328 160216 168799 240324 274656 320432 337598 480648 506397 640864 675196 961296 1012794 1181593 1350392 1922592 2025588 2363186 2700784 3544779 4051176 4726372 5401568 7089558 8102352 9452744 14179116 16204704 18905488 28358232 37810976 56716464 113432928