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113495712 = 25311313467
BaseRepresentation
bin1101100001111…
…00111010100000
321220120011211220
412300330322200
5213023330322
615132335040
72545461201
oct660747240
9256504756
10113495712
115907a010
1232014480
131a68a535
14111055a8
159e6d55c
hex6c3cea0

113495712 has 96 divisors (see below), whose sum is σ = 335591424. Its totient is φ = 33273600.

The previous prime is 113495699. The next prime is 113495713. The reversal of 113495712 is 217594311.

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 (33).

It is not an unprimeable number, because it can be changed into a prime (113495713) by changing a digit.

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, 31003 + ... + 34469.

It is an arithmetic number, because the mean of its divisors is an integer number (3495744).

Almost surely, 2113495712 is an apocalyptic number.

113495712 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 113495712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167795712).

113495712 is an abundant number, since it is smaller than the sum of its proper divisors (222095712).

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

113495712 is a wasteful number, since it uses less digits than its factorization.

113495712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522 (or 3514 counting only the distinct ones).

The product of its digits is 7560, while the sum is 33.

The square root of 113495712 is about 10653.4366286190. The cubic root of 113495712 is about 484.1647323057.

The spelling of 113495712 in words is "one hundred thirteen million, four hundred ninety-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 66 88 93 96 124 132 176 186 248 264 341 352 372 496 528 682 744 992 1023 1056 1364 1488 2046 2728 2976 3467 4092 5456 6934 8184 10401 10912 13868 16368 20802 27736 32736 38137 41604 55472 76274 83208 107477 110944 114411 152548 166416 214954 228822 305096 322431 332832 429908 457644 610192 644862 859816 915288 1182247 1220384 1289724 1719632 1830576 2364494 2579448 3439264 3546741 3661152 4728988 5158896 7093482 9457976 10317792 14186964 18915952 28373928 37831904 56747856 113495712