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113039424 = 26324432
BaseRepresentation
bin1101011110011…
…01100001000000
321212200222221100
412233031201000
5212414230144
615114454400
72541551001
oct657154100
9255628840
10113039424
1158898213
1231a34400
131a55a944
14110271a8
159dcd269
hex6bcd840

113039424 has 63 divisors (see below), whose sum is σ = 324740143. Its totient is φ = 37594752.

The previous prime is 113039393. The next prime is 113039429. The reversal of 113039424 is 424930311.

The square root of 113039424 is 10632.

It is a perfect power (a square), and thus also a powerful number.

It is a super-3 number, since 3×1130394243 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113039429) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 254947 + ... + 255389.

Almost surely, 2113039424 is an apocalyptic number.

113039424 is the 10632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113039424

113039424 is an abundant number, since it is smaller than the sum of its proper divisors (211700719).

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

113039424 is an frugal number, since it uses more digits than its factorization.

113039424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The cubic root of 113039424 is about 483.5150300094.

Adding to 113039424 its reverse (424930311), we get a palindrome (537969735).

The spelling of 113039424 in words is "one hundred thirteen million, thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 443 576 886 1329 1772 2658 3544 3987 5316 7088 7974 10632 14176 15948 21264 28352 31896 42528 63792 85056 127584 196249 255168 392498 588747 784996 1177494 1569992 1766241 2354988 3139984 3532482 4709976 6279968 7064964 9419952 12559936 14129928 18839904 28259856 37679808 56519712 113039424