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113235520 = 265615801
BaseRepresentation
bin1101011111111…
…01011001000000
321220001221221011
412233331121000
5212442014040
615123010304
72543325466
oct657753100
9256057834
10113235520
1158a11582
1231b09994
131a5c8c88
1411078836
159e1b3ea
hex6bfd640

113235520 has 56 divisors (see below), whose sum is σ = 274109688. Its totient is φ = 44544000.

The previous prime is 113235511. The next prime is 113235533. The reversal of 113235520 is 25532311.

It can be written as a sum of positive squares in 4 ways, for example, as 13075456 + 100160064 = 3616^2 + 10008^2 .

It is a junction number, because it is equal to n+sod(n) for n = 113235491 and 113235500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16620 + ... + 22420.

Almost surely, 2113235520 is an apocalyptic number.

113235520 is a gapful number since it is divisible by the number (10) 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 113235520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137054844).

113235520 is an abundant number, since it is smaller than the sum of its proper divisors (160874168).

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

113235520 is an equidigital number, since it uses as much as digits as its factorization.

113235520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5879 (or 5869 counting only the distinct ones).

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

The square root of 113235520 is about 10641.2179754011. The cubic root of 113235520 is about 483.7944622804.

Adding to 113235520 its reverse (25532311), we get a palindrome (138767831).

The spelling of 113235520 in words is "one hundred thirteen million, two hundred thirty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 160 244 305 320 488 610 976 1220 1952 2440 3904 4880 5801 9760 11602 19520 23204 29005 46408 58010 92816 116020 185632 232040 353861 371264 464080 707722 928160 1415444 1769305 1856320 2830888 3538610 5661776 7077220 11323552 14154440 22647104 28308880 56617760 113235520