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113578080 = 25357211439
BaseRepresentation
bin1101100010100…
…01000001100000
321220201100211120
412301101001200
5213033444310
615134212240
72546253300
oct661210140
9256640746
10113578080
1159125990
1232054080
131a6b8b85
1411127600
159e87b70
hex6c51060

113578080 has 288 divisors, whose sum is σ = 455051520. Its totient is φ = 23546880.

The previous prime is 113578057. The next prime is 113578097. The reversal of 113578080 is 80875311.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258501 + ... + 258939.

It is an arithmetic number, because the mean of its divisors is an integer number (1580040).

Almost surely, 2113578080 is an apocalyptic number.

113578080 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 113578080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227525760).

113578080 is an abundant number, since it is smaller than the sum of its proper divisors (341473440).

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

113578080 is a wasteful number, since it uses less digits than its factorization.

113578080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 113578080 is about 10657.3017222935. The cubic root of 113578080 is about 484.2818293498.

The spelling of 113578080 in words is "one hundred thirteen million, five hundred seventy-eight thousand, eighty".