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113523520 = 2651132251
BaseRepresentation
bin1101100010000…
…11101101000000
321220121120222211
412301003231000
5213030223040
615133111504
72545635235
oct661035500
9256546884
10113523520
11590989a0
1232028594
131a69a0a6
141111178c
159e768ea
hex6c43b40

113523520 has 56 divisors (see below), whose sum is σ = 294912288. Its totient is φ = 41280000.

The previous prime is 113523517. The next prime is 113523521. The reversal of 113523520 is 25325311.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 113523491 and 113523500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113523521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12606 + ... + 19645.

Almost surely, 2113523520 is an apocalyptic number.

113523520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113523520 is an abundant number, since it is smaller than the sum of its proper divisors (181388768).

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

113523520 is a wasteful number, since it uses less digits than its factorization.

113523520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32279 (or 32269 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 113523520 is about 10654.7416674455. The cubic root of 113523520 is about 484.2042714013.

Adding to 113523520 its reverse (25325311), we get a palindrome (138848831).

The spelling of 113523520 in words is "one hundred thirteen million, five hundred twenty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 32251 64502 129004 161255 258008 322510 354761 516016 645020 709522 1032032 1290040 1419044 1773805 2064064 2580080 2838088 3547610 5160160 5676176 7095220 10320320 11352352 14190440 22704704 28380880 56761760 113523520