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113124264 = 233111313271
BaseRepresentation
bin1101011111000…
…10001110101000
321212212022022120
412233202032220
5212424434024
615120351240
72542353231
oct657421650
9255768276
10113124264
1158945a30
1231a75520
131a58a446
141104a088
159de8479
hex6be23a8

113124264 has 64 divisors (see below), whose sum is σ = 310970880. Its totient is φ = 34008000.

The previous prime is 113124259. The next prime is 113124283. The reversal of 113124264 is 462421311.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

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, 32949 + ... + 36219.

It is an arithmetic number, because the mean of its divisors is an integer number (4858920).

Almost surely, 2113124264 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 113124264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155485440).

113124264 is an abundant number, since it is smaller than the sum of its proper divisors (197846616).

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

113124264 is a wasteful number, since it uses less digits than its factorization.

113124264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3422 (or 3418 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 113124264 is about 10635.9890936386. The cubic root of 113124264 is about 483.6359646807.

Adding to 113124264 its reverse (462421311), we get a palindrome (575545575).

It can be divided in two parts, 11312 and 4264, that added together give a triangular number (15576 = T176).

The spelling of 113124264 in words is "one hundred thirteen million, one hundred twenty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 131 132 262 264 393 524 786 1048 1441 1572 2882 3144 3271 4323 5764 6542 8646 9813 11528 13084 17292 19626 26168 34584 35981 39252 71962 78504 107943 143924 215886 287848 428501 431772 857002 863544 1285503 1714004 2571006 3428008 4713511 5142012 9427022 10284024 14140533 18854044 28281066 37708088 56562132 113124264