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113283072 = 212327439
BaseRepresentation
bin1101100000010…
…01000000000000
321220011101011100
412300021000000
5213000024242
615124014400
72543614230
oct660110000
9256141140
10113283072
1158a44281
1231b31400
131a614806
141108bcc0
159e2a54c
hex6c09000

113283072 has 156 divisors (see below), whose sum is σ = 374820160. Its totient is φ = 32292864.

The previous prime is 113283067. The next prime is 113283089. The reversal of 113283072 is 270382311.

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, 257829 + ... + 258267.

Almost surely, 2113283072 is an apocalyptic number.

113283072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113283072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187410080).

113283072 is an abundant number, since it is smaller than the sum of its proper divisors (261537088).

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

113283072 is an equidigital number, since it uses as much as digits as its factorization.

113283072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 113283072 is about 10643.4520715790. The cubic root of 113283072 is about 483.8621741748.

It can be divided in two parts, 11328 and 3072, that added together give a square (14400 = 1202).

The spelling of 113283072 in words is "one hundred thirteen million, two hundred eighty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 439 448 504 512 576 672 768 878 896 1008 1024 1152 1317 1344 1536 1756 1792 2016 2048 2304 2634 2688 3072 3073 3512 3584 3951 4032 4096 4608 5268 5376 6144 6146 7024 7168 7902 8064 9216 9219 10536 10752 12288 12292 14048 14336 15804 16128 18432 18438 21072 21504 24584 27657 28096 28672 31608 32256 36864 36876 42144 43008 49168 55314 56192 63216 64512 73752 84288 86016 98336 110628 112384 126432 129024 147504 168576 196672 221256 224768 252864 258048 295008 337152 393344 442512 449536 505728 590016 674304 786688 885024 899072 1011456 1180032 1348608 1573376 1770048 1798144 2022912 2360064 2697216 3146752 3540096 4045824 4720128 5394432 6293504 7080192 8091648 9440256 12587008 14160384 16183296 18880512 28320768 37761024 56641536 113283072