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113400132 = 223172191721
BaseRepresentation
bin1101100001001…
…01100101000100
321220101022201220
412300211211010
5213012301012
615130320340
72544612426
oct660454504
9256338656
10113400132
115901421a
1231b890b0
131a655b91
14110bc816
159e5008c
hex6c25944

113400132 has 72 divisors (see below), whose sum is σ = 296046240. Its totient is φ = 33684480.

The previous prime is 113400103. The next prime is 113400167. The reversal of 113400132 is 231004311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65032 + ... + 66752.

Almost surely, 2113400132 is an apocalyptic number.

113400132 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 113400132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148023120).

113400132 is an abundant number, since it is smaller than the sum of its proper divisors (182646108).

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

113400132 is a wasteful number, since it uses less digits than its factorization.

113400132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 113400132 is about 10648.9498073754. The cubic root of 113400132 is about 484.0287816138.

Adding to 113400132 its reverse (231004311), we get a palindrome (344404443).

The spelling of 113400132 in words is "one hundred thirteen million, four hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 289 323 578 646 867 969 1156 1292 1721 1734 1938 3442 3468 3876 5163 5491 6884 10326 10982 16473 20652 21964 29257 32699 32946 58514 65398 65892 87771 98097 117028 130796 175542 196194 351084 392388 497369 555883 994738 1111766 1492107 1667649 1989476 2223532 2984214 3335298 5968428 6670596 9450011 18900022 28350033 37800044 56700066 113400132