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113387274 = 2327211132931
BaseRepresentation
bin1101100001000…
…10011100001010
321220100200002200
412300202130022
5213011343044
615130141030
72544530100
oct660423412
9256320080
10113387274
11590055a0
1231b81776
131a650080
14110b7c70
159e4b369
hex6c2270a

113387274 has 288 divisors, whose sum is σ = 358525440. Its totient is φ = 25401600.

The previous prime is 113387273. The next prime is 113387291. The reversal of 113387274 is 472783311.

113387274 is a `hidden beast` number, since 1 + 1 + 3 + 387 + 274 = 666.

Its product of digits (28224) is a multiple of the sum of its prime divisors (96).

It is not an unprimeable number, because it can be changed into a prime (113387273) 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 143 ways as a sum of consecutive naturals, for example, 3657639 + ... + 3657669.

It is an arithmetic number, because the mean of its divisors is an integer number (1244880).

Almost surely, 2113387274 is an apocalyptic number.

113387274 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113387274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179262720).

113387274 is an abundant number, since it is smaller than the sum of its proper divisors (245138166).

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

113387274 is a wasteful number, since it uses less digits than its factorization.

113387274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 96 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 113387274 is about 10648.3460687564. The cubic root of 113387274 is about 484.0104868752.

The spelling of 113387274 in words is "one hundred thirteen million, three hundred eighty-seven thousand, two hundred seventy-four".