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113147568 = 24323672141
BaseRepresentation
bin1101011111001…
…11111010110000
321212220111021200
412233213322300
5212431210233
615121051200
72542511202
oct657477260
9255814250
10113147568
1158961496
1231a86b00
131a597c31
1411054772
159e00313
hex6be7eb0

113147568 has 60 divisors (see below), whose sum is σ = 317667168. Its totient is φ = 37595520.

The previous prime is 113147521. The next prime is 113147581. The reversal of 113147568 is 865741311.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51778 + ... + 53918.

Almost surely, 2113147568 is an apocalyptic number.

113147568 is a gapful number since it is divisible by the number (18) 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 113147568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158833584).

113147568 is an abundant number, since it is smaller than the sum of its proper divisors (204519600).

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

113147568 is a wasteful number, since it uses less digits than its factorization.

113147568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2522 (or 2513 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 113147568 is about 10637.0845629806. The cubic root of 113147568 is about 483.6691726424.

Adding to 113147568 its reverse (865741311), we get a palindrome (978888879).

The spelling of 113147568 in words is "one hundred thirteen million, one hundred forty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 367 734 1101 1468 2141 2202 2936 3303 4282 4404 5872 6423 6606 8564 8808 12846 13212 17128 17616 19269 25692 26424 34256 38538 51384 52848 77076 102768 154152 308304 785747 1571494 2357241 3142988 4714482 6285976 7071723 9428964 12571952 14143446 18857928 28286892 37715856 56573784 113147568