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113620728 = 233132109257
BaseRepresentation
bin1101100010110…
…11011011111000
321220210112100010
412301123123320
5213041330403
615135141520
72546521524
oct661333370
9256715303
10113620728
1159154a31
12320748a0
131a702400
1411138d84
159e95603
hex6c5b6f8

113620728 has 96 divisors (see below), whose sum is σ = 311612400. Its totient is φ = 34504704.

The previous prime is 113620697. The next prime is 113620733. The reversal of 113620728 is 827026311.

It is a junction number, because it is equal to n+sod(n) for n = 113620695 and 113620704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441976 + ... + 442232.

Almost surely, 2113620728 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 113620728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155806200).

113620728 is an abundant number, since it is smaller than the sum of its proper divisors (197991672).

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

113620728 is a wasteful number, since it uses less digits than its factorization.

113620728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 113620728 is about 10659.3024161997. The cubic root of 113620728 is about 484.3424368980.

The spelling of 113620728 in words is "one hundred thirteen million, six hundred twenty thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 109 156 169 218 257 312 327 338 436 507 514 654 676 771 872 1014 1028 1308 1352 1417 1542 2028 2056 2616 2834 3084 3341 4056 4251 5668 6168 6682 8502 10023 11336 13364 17004 18421 20046 26728 28013 34008 36842 40092 43433 55263 56026 73684 80184 84039 86866 110526 112052 130299 147368 168078 173732 221052 224104 260598 336156 347464 364169 442104 521196 672312 728338 1042392 1092507 1456676 2185014 2913352 4370028 4734197 8740056 9468394 14202591 18936788 28405182 37873576 56810364 113620728