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113062464 = 26321910331
BaseRepresentation
bin1101011110100…
…11001001000000
321212202011112200
412233103021000
5212420444324
615115153200
72542005114
oct657231100
9255664480
10113062464
1158903559
1231a45800
131a568288
1411031744
159dd4ec9
hex6bd3240

113062464 has 84 divisors (see below), whose sum is σ = 341162640. Its totient is φ = 35700480.

The previous prime is 113062429. The next prime is 113062511. The reversal of 113062464 is 464260311.

113062464 is a `hidden beast` number, since 1 + 1 + 30 + 624 + 6 + 4 = 666.

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, 5779 + ... + 16109.

It is an arithmetic number, because the mean of its divisors is an integer number (4061460).

Almost surely, 2113062464 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 113062464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170581320).

113062464 is an abundant number, since it is smaller than the sum of its proper divisors (228100176).

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

113062464 is a wasteful number, since it uses less digits than its factorization.

113062464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10368 (or 10355 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 113062464 is about 10633.0834662388. The cubic root of 113062464 is about 483.5478782232.

It can be divided in two parts, 113062 and 464, that added together give a triangular number (113526 = T476).

The spelling of 113062464 in words is "one hundred thirteen million, sixty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 2736 3648 5472 10331 10944 20662 30993 41324 61986 82648 92979 123972 165296 185958 196289 247944 330592 371916 392578 495888 588867 661184 743832 785156 991776 1177734 1487664 1570312 1766601 1983552 2355468 2975328 3140624 3533202 4710936 5950656 6281248 7066404 9421872 12562496 14132808 18843744 28265616 37687488 56531232 113062464