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113287464 = 2333975407
BaseRepresentation
bin1101100000010…
…10000100101000
321220011121012000
412300022010220
5213000144324
615124051000
72543633103
oct660120450
9256147160
10113287464
1158a47604
1231b33a60
131a616804
141108d73a
159e2b9c9
hex6c0a128

113287464 has 64 divisors (see below), whose sum is σ = 317990400. Its totient is φ = 37366272.

The previous prime is 113287463. The next prime is 113287487. The reversal of 113287464 is 464782311.

113287464 is a `hidden beast` number, since 113 + 2 + 87 + 464 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113287463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18249 + ... + 23655.

It is an arithmetic number, because the mean of its divisors is an integer number (4968600).

Almost surely, 2113287464 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 113287464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158995200).

113287464 is an abundant number, since it is smaller than the sum of its proper divisors (204702936).

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

113287464 is a wasteful number, since it uses less digits than its factorization.

113287464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5519 (or 5509 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 113287464 is about 10643.6583936164. The cubic root of 113287464 is about 483.8684272280.

The spelling of 113287464 in words is "one hundred thirteen million, two hundred eighty-seven thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 97 108 194 216 291 388 582 776 873 1164 1746 2328 2619 3492 5238 5407 6984 10476 10814 16221 20952 21628 32442 43256 48663 64884 97326 129768 145989 194652 291978 389304 524479 583956 1048958 1167912 1573437 2097916 3146874 4195832 4720311 6293748 9440622 12587496 14160933 18881244 28321866 37762488 56643732 113287464