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113709648 = 243131491223
BaseRepresentation
bin1101100011100…
…01001001010000
321220222001022110
412301301021100
5213102202043
615141105320
72550342003
oct661611120
9256861273
10113709648
1159205818
12320b8240
131a733a20
141115d53a
159eb1b33
hex6c71250

113709648 has 80 divisors (see below), whose sum is σ = 318729600. Its totient is φ = 34724352.

The previous prime is 113709647. The next prime is 113709709. The reversal of 113709648 is 846907311.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113709641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92365 + ... + 93587.

It is an arithmetic number, because the mean of its divisors is an integer number (3984120).

Almost surely, 2113709648 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 113709648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159364800).

113709648 is an abundant number, since it is smaller than the sum of its proper divisors (205019952).

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

113709648 is a wasteful number, since it uses less digits than its factorization.

113709648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 113709648 is about 10663.4726051132. The cubic root of 113709648 is about 484.4687533432.

The spelling of 113709648 in words is "one hundred thirteen million, seven hundred nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 149 156 208 298 312 447 596 624 894 1192 1223 1788 1937 2384 2446 3576 3669 3874 4892 5811 7152 7338 7748 9784 11622 14676 15496 15899 19568 23244 29352 30992 31798 46488 47697 58704 63596 92976 95394 127192 182227 190788 254384 364454 381576 546681 728908 763152 1093362 1457816 2186724 2368951 2915632 4373448 4737902 7106853 8746896 9475804 14213706 18951608 28427412 37903216 56854824 113709648