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113538984 = 2331319107179
BaseRepresentation
bin1101100010001…
…11011110101000
321220122101012120
412301013132220
5213031221414
615133311240
72546031306
oct661073650
9256571176
10113538984
11590a9579
1232035520
131a6a4140
1411117276
159e7b2a9
hex6c477a8

113538984 has 128 divisors (see below), whose sum is σ = 326592000. Its totient is φ = 32603904.

The previous prime is 113538983. The next prime is 113539001. The reversal of 113538984 is 489835311.

It is a super-2 number, since 2×1135389842 = 25782201775504512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113538983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 634207 + ... + 634385.

It is an arithmetic number, because the mean of its divisors is an integer number (2551500).

Almost surely, 2113538984 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 113538984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163296000).

113538984 is an abundant number, since it is smaller than the sum of its proper divisors (213053016).

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

113538984 is a wasteful number, since it uses less digits than its factorization.

113538984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 323 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 113538984 is about 10655.4673290288. The cubic root of 113538984 is about 484.2262562578.

The spelling of 113538984 in words is "one hundred thirteen million, five hundred thirty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 107 114 152 156 179 214 228 247 312 321 358 428 456 494 537 642 716 741 856 988 1074 1284 1391 1432 1482 1976 2033 2148 2327 2568 2782 2964 3401 4066 4173 4296 4654 5564 5928 6099 6802 6981 8132 8346 9308 10203 11128 12198 13604 13962 16264 16692 18616 19153 20406 24396 26429 27208 27924 33384 38306 40812 44213 48792 52858 55848 57459 76612 79287 81624 88426 105716 114918 132639 153224 158574 176852 211432 229836 248989 265278 317148 353704 363907 459672 497978 530556 634296 727814 746967 995956 1061112 1091721 1455628 1493934 1991912 2183442 2911256 2987868 4366884 4730791 5975736 8733768 9461582 14192373 18923164 28384746 37846328 56769492 113538984