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113531904 = 2103297127
BaseRepresentation
bin1101100010001…
…01110000000000
321220122000111100
412301011300000
5213031010104
615133214400
72546001543
oct661056000
9256560440
10113531904
11590a4222
1232031400
131a6a0b55
141111485a
159e79139
hex6c45c00

113531904 has 132 divisors (see below), whose sum is σ = 333808384. Its totient is φ = 37158912.

The previous prime is 113531879. The next prime is 113531921. The reversal of 113531904 is 409135311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 893889 + ... + 894015.

Almost surely, 2113531904 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 113531904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166904192).

113531904 is an abundant number, since it is smaller than the sum of its proper divisors (220276480).

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

113531904 is a wasteful number, since it uses less digits than its factorization.

113531904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 113531904 is about 10655.1351000351. The cubic root of 113531904 is about 484.2161910126.

The spelling of 113531904 in words is "one hundred thirteen million, five hundred thirty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 127 128 144 192 194 254 256 288 291 381 384 388 508 512 576 582 762 768 776 873 1016 1024 1143 1152 1164 1524 1536 1552 1746 2032 2286 2304 2328 3048 3072 3104 3492 4064 4572 4608 4656 6096 6208 6984 8128 9144 9216 9312 12192 12319 12416 13968 16256 18288 18624 24384 24638 24832 27936 32512 36576 36957 37248 48768 49276 49664 55872 65024 73152 73914 74496 97536 98552 99328 110871 111744 130048 146304 147828 148992 195072 197104 221742 223488 292608 295656 297984 390144 394208 443484 446976 585216 591312 788416 886968 893952 1170432 1182624 1576832 1773936 2365248 3153664 3547872 4730496 6307328 7095744 9460992 12614656 14191488 18921984 28382976 37843968 56765952 113531904