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113985816 = 233717107373
BaseRepresentation
bin1101100101101…
…00100100011000
321221111002010220
412302310210120
5213140021231
615151040040
72552602110
oct662644430
9257432126
10113985816
115938425a
1232210020
131a7cc639
14111d2040
15a018896
hex6cb4918

113985816 has 128 divisors (see below), whose sum is σ = 348986880. Its totient is φ = 30283776.

The previous prime is 113985797. The next prime is 113985821. The reversal of 113985816 is 618589311.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305406 + ... + 305778.

It is an arithmetic number, because the mean of its divisors is an integer number (2726460).

Almost surely, 2113985816 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 113985816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174493440).

113985816 is an abundant number, since it is smaller than the sum of its proper divisors (235001064).

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

113985816 is a wasteful number, since it uses less digits than its factorization.

113985816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 509 counting only the distinct ones).

The product of its digits is 51840, while the sum is 42.

The square root of 113985816 is about 10676.4140047115. The cubic root of 113985816 is about 484.8606479584.

The spelling of 113985816 in words is "one hundred thirteen million, nine hundred eighty-five thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 107 119 136 168 204 214 238 321 357 373 408 428 476 642 714 746 749 856 952 1119 1284 1428 1492 1498 1819 2238 2247 2568 2611 2856 2984 2996 3638 4476 4494 5222 5457 5992 6341 7276 7833 8952 8988 10444 10914 12682 12733 14552 15666 17976 19023 20888 21828 25364 25466 31332 38046 38199 39911 43656 44387 50728 50932 62664 76092 76398 79822 88774 101864 119733 133161 152184 152796 159644 177548 239466 266322 279377 305592 319288 355096 478932 532644 558754 678487 838131 957864 1065288 1117508 1356974 1676262 2035461 2235016 2713948 3352524 4070922 4749409 5427896 6705048 8141844 9498818 14248227 16283688 18997636 28496454 37995272 56992908 113985816