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113449464 = 23334331213
BaseRepresentation
bin1101100001100…
…01100111111000
321220110211102000
412300301213320
5213020340324
615131341000
72545206312
oct660614770
9256424360
10113449464
1159048297
1231bb1760
131a67247b
14110d27b2
159e5e9c9
hex6c319f8

113449464 has 64 divisors (see below), whose sum is σ = 316125600. Its totient is φ = 37698048.

The previous prime is 113449459. The next prime is 113449529. The reversal of 113449464 is 464944311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92922 + ... + 94134.

Almost surely, 2113449464 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 113449464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158062800).

113449464 is an abundant number, since it is smaller than the sum of its proper divisors (202676136).

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

113449464 is a wasteful number, since it uses less digits than its factorization.

113449464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661 (or 1651 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 113449464 is about 10651.2658402652. The cubic root of 113449464 is about 484.0989597983.

The spelling of 113449464 in words is "one hundred thirteen million, four hundred forty-nine thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 433 866 1213 1299 1732 2426 2598 3464 3639 3897 4852 5196 7278 7794 9704 10392 10917 11691 14556 15588 21834 23382 29112 31176 32751 43668 46764 65502 87336 93528 131004 262008 525229 1050458 1575687 2100916 3151374 4201832 4727061 6302748 9454122 12605496 14181183 18908244 28362366 37816488 56724732 113449464