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113727096 = 233272931251
BaseRepresentation
bin1101100011101…
…01011001111000
321220222221020200
412301311121320
5213103231341
615141322200
72550443610
oct661653170
9256887220
10113727096
115921793a
1232106360
131a73b952
1411165a40
159eb6db6
hex6c75678

113727096 has 192 divisors, whose sum is σ = 377395200. Its totient is φ = 30240000.

The previous prime is 113727091. The next prime is 113727121. The reversal of 113727096 is 690727311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 113727096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113727091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 452971 + ... + 453221.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 2113727096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113727096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188697600).

113727096 is an abundant number, since it is smaller than the sum of its proper divisors (263668104).

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

113727096 is a wasteful number, since it uses less digits than its factorization.

113727096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 113727096 is about 10664.2906937124. The cubic root of 113727096 is about 484.4935315939.

The spelling of 113727096 in words is "one hundred thirteen million, seven hundred twenty-seven thousand, ninety-six".