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113492340 = 223451317317
BaseRepresentation
bin1101100001111…
…00000101110100
321220120000020000
412300330011310
5213023223330
615132311300
72545445313
oct660740564
9256500200
10113492340
1159077525
1232012530
131a688b40
141110427a
159e6c560
hex6c3c174

113492340 has 240 divisors, whose sum is σ = 407251152. Its totient is φ = 26210304.

The previous prime is 113492311. The next prime is 113492347. The reversal of 113492340 is 43294311.

It can be written as a sum of positive squares in 8 ways, for example, as 16548624 + 96943716 = 4068^2 + 9846^2 .

It is a super-2 number, since 2×1134923402 = 25761022477351200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113492347) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 357862 + ... + 358178.

Almost surely, 2113492340 is an apocalyptic number.

113492340 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 113492340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203625576).

113492340 is an abundant number, since it is smaller than the sum of its proper divisors (293758812).

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

113492340 is a wasteful number, since it uses less digits than its factorization.

113492340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 113492340 is about 10653.2783686525. The cubic root of 113492340 is about 484.1599373532.

It can be divided in two parts, 11349 and 2340, that added together give a square (13689 = 1172).

The spelling of 113492340 in words is "one hundred thirteen million, four hundred ninety-two thousand, three hundred forty".