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113430240 = 25335711231
BaseRepresentation
bin1101100001011…
…00111011100000
321220102212001000
412300230323200
5213014231430
615131112000
72545066260
oct660547340
9256385030
10113430240
1159034900
1231ba2600
131a6667b1
14110c97a0
159e58e60
hex6c2cee0

113430240 has 576 divisors, whose sum is σ = 514805760. Its totient is φ = 22809600.

The previous prime is 113430217. The next prime is 113430253. The reversal of 113430240 is 42034311.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3659025 + ... + 3659055.

It is an arithmetic number, because the mean of its divisors is an integer number (893760).

Almost surely, 2113430240 is an apocalyptic number.

113430240 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 113430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257402880).

113430240 is an abundant number, since it is smaller than the sum of its proper divisors (401375520).

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

113430240 is a wasteful number, since it uses less digits than its factorization.

113430240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 113430240 is about 10650.3633740826. The cubic root of 113430240 is about 484.0716147474.

Adding to 113430240 its reverse (42034311), we get a palindrome (155464551).

The spelling of 113430240 in words is "one hundred thirteen million, four hundred thirty thousand, two hundred forty".