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113502240 = 25325232149
BaseRepresentation
bin1101100001111…
…10100000100000
321220120111210200
412300332200200
5213024032430
615132425200
72545516215
oct660764040
9256514720
10113502240
1159083a05
1232018200
131a6904b7
1411107b0c
159e70460
hex6c3e820

113502240 has 216 divisors, whose sum is σ = 407616300. Its totient is φ = 28756992.

The previous prime is 113502229. The next prime is 113502281. The reversal of 113502240 is 42205311.

It can be written as a sum of positive squares in 2 ways, for example, as 104284944 + 9217296 = 10212^2 + 3036^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 761686 + ... + 761834.

Almost surely, 2113502240 is an apocalyptic number.

113502240 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 113502240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203808150).

113502240 is an abundant number, since it is smaller than the sum of its proper divisors (294114060).

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

113502240 is a wasteful number, since it uses less digits than its factorization.

113502240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 113502240 is about 10653.7430042216. The cubic root of 113502240 is about 484.1740147908.

Adding to 113502240 its reverse (42205311), we get a palindrome (155707551).

The spelling of 113502240 in words is "one hundred thirteen million, five hundred two thousand, two hundred forty".