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68931968 = 277107719
BaseRepresentation
bin1000001101111…
…01000110000000
311210201002212212
410012331012000
5120121310333
610501241252
71464624560
oct406750600
9153632785
1068931968
1135a01676
121b103228
1311386661
149224da0
1560b9448
hex41bd180

68931968 has 64 divisors (see below), whose sum is σ = 158630400. Its totient is φ = 29225472.

The previous prime is 68931931. The next prime is 68931971. The reversal of 68931968 is 86913986.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95513 + ... + 96231.

It is an arithmetic number, because the mean of its divisors is an integer number (2478600).

Almost surely, 268931968 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 68931968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79315200).

68931968 is an abundant number, since it is smaller than the sum of its proper divisors (89698432).

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

68931968 is a wasteful number, since it uses less digits than its factorization.

68931968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 835 counting only the distinct ones).

The product of its digits is 559872, while the sum is 50.

The square root of 68931968 is about 8302.5278078426. The cubic root of 68931968 is about 410.0217478054.

The spelling of 68931968 in words is "sixty-eight million, nine hundred thirty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 107 112 128 214 224 428 448 719 749 856 896 1438 1498 1712 2876 2996 3424 5033 5752 5992 6848 10066 11504 11984 13696 20132 23008 23968 40264 46016 47936 76933 80528 92032 95872 153866 161056 307732 322112 538531 615464 644224 1077062 1230928 2154124 2461856 4308248 4923712 8616496 9847424 17232992 34465984 68931968