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113870208 = 2731032879
BaseRepresentation
bin1101100100110…
…00010110000000
321221021012120010
412302120112000
5213122321313
615144344520
72551611054
oct662302600
9257235503
10113870208
1159305411
1232175140
131a78bb2a
14111a1c64
159ee44c3
hex6c98580

113870208 has 64 divisors (see below), whose sum is σ = 305510400. Its totient is φ = 37575168.

The previous prime is 113870203. The next prime is 113870279. The reversal of 113870208 is 802078311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113870203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38113 + ... + 40991.

It is an arithmetic number, because the mean of its divisors is an integer number (4773600).

Almost surely, 2113870208 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 113870208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152755200).

113870208 is an abundant number, since it is smaller than the sum of its proper divisors (191640192).

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

113870208 is a wasteful number, since it uses less digits than its factorization.

113870208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2999 (or 2987 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 113870208 is about 10670.9984537531. The cubic root of 113870208 is about 484.6966722027.

The spelling of 113870208 in words is "one hundred thirteen million, eight hundred seventy thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 309 384 412 618 824 1236 1648 2472 2879 3296 4944 5758 6592 8637 9888 11516 13184 17274 19776 23032 34548 39552 46064 69096 92128 138192 184256 276384 296537 368512 552768 593074 889611 1105536 1186148 1779222 2372296 3558444 4744592 7116888 9489184 14233776 18978368 28467552 37956736 56935104 113870208