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113811264 = 26337972
BaseRepresentation
bin1101100100010…
…01111101000000
321221011012201000
412302021331000
5213113430024
615143212000
72551244160
oct662117500
9257135630
10113811264
11592750a6
1232147000
131a76b058
14111885a0
159ed1cc9
hex6c89f40

113811264 has 168 divisors, whose sum is σ = 386364480. Its totient is φ = 32182272.

The previous prime is 113811263. The next prime is 113811287. The reversal of 113811264 is 462118311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113811263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1173264 + ... + 1173360.

Almost surely, 2113811264 is an apocalyptic number.

113811264 is a gapful number since it is divisible by the number (14) 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 113811264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193182240).

113811264 is an abundant number, since it is smaller than the sum of its proper divisors (272553216).

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

113811264 is an frugal number, since it uses more digits than its factorization.

113811264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 109 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 113811264 is about 10668.2362178572. The cubic root of 113811264 is about 484.6130246527.

Adding to 113811264 its reverse (462118311), we get a palindrome (575929575).

The spelling of 113811264 in words is "one hundred thirteen million, eight hundred eleven thousand, two hundred sixty-four".