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113024160 = 253751719
BaseRepresentation
bin1101011110010…
…01110010100000
321212200020000000
412233021302200
5212413233120
615114300000
72541455334
oct657116240
9255606000
10113024160
11588877a7
1231a27600
131a553a02
14110217c4
159dc8990
hex6bc9ca0

113024160 has 384 divisors, whose sum is σ = 446342400. Its totient is φ = 26873856.

The previous prime is 113024137. The next prime is 113024173. The reversal of 113024160 is 61420311.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 5948631 + ... + 5948649.

It is an arithmetic number, because the mean of its divisors is an integer number (1162350).

Almost surely, 2113024160 is an apocalyptic number.

113024160 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 113024160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223171200).

113024160 is an abundant number, since it is smaller than the sum of its proper divisors (333318240).

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

113024160 is an equidigital number, since it uses as much as digits as its factorization.

113024160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 113024160 is about 10631.2821428086. The cubic root of 113024160 is about 483.4932656096.

Adding to 113024160 its reverse (61420311), we get a palindrome (174444471).

The spelling of 113024160 in words is "one hundred thirteen million, twenty-four thousand, one hundred sixty".