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113150304 = 2533173757
BaseRepresentation
bin1101011111010…
…00100101100000
321212220122001000
412233220211200
5212431302204
615121112000
72542522161
oct657504540
9255818030
10113150304
1158963553
1231a88600
131a599257
1411055768
159e01039
hex6be8960

113150304 has 96 divisors (see below), whose sum is σ = 332367840. Its totient is φ = 37449216.

The previous prime is 113150293. The next prime is 113150311. The reversal of 113150304 is 403051311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149094 + ... + 149850.

It is an arithmetic number, because the mean of its divisors is an integer number (3462165).

Almost surely, 2113150304 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 113150304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166183920).

113150304 is an abundant number, since it is smaller than the sum of its proper divisors (219217536).

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

113150304 is a wasteful number, since it uses less digits than its factorization.

113150304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 113150304 is about 10637.2131688709. The cubic root of 113150304 is about 483.6730711153.

The spelling of 113150304 in words is "one hundred thirteen million, one hundred fifty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 173 216 288 346 432 519 692 757 864 1038 1384 1514 1557 2076 2271 2768 3028 3114 4152 4542 4671 5536 6056 6228 6813 8304 9084 9342 12112 12456 13626 16608 18168 18684 20439 24224 24912 27252 36336 37368 40878 49824 54504 72672 74736 81756 109008 130961 149472 163512 218016 261922 327024 392883 523844 654048 785766 1047688 1178649 1571532 2095376 2357298 3143064 3535947 4190752 4714596 6286128 7071894 9429192 12572256 14143788 18858384 28287576 37716768 56575152 113150304