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68051664 = 243523761
BaseRepresentation
bin1000000111001…
…10001011010000
311202001101100000
410003212023100
5114410123124
610430330000
71454300232
oct403461320
9152041300
1068051664
113546024a
121a959900
1311138a75
149076252
155e936c9
hex40e62d0

68051664 has 120 divisors (see below), whose sum is σ = 206361792. Its totient is φ = 21669120.

The previous prime is 68051657. The next prime is 68051713. The reversal of 68051664 is 46615086.

68051664 is a `hidden beast` number, since 6 + 80 + 516 + 64 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89044 + ... + 89804.

Almost surely, 268051664 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 68051664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103180896).

68051664 is an abundant number, since it is smaller than the sum of its proper divisors (138310128).

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

68051664 is a wasteful number, since it uses less digits than its factorization.

68051664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 68051664 is about 8249.3432465864. The cubic root of 68051664 is about 408.2688539401.

The spelling of 68051664 in words is "sixty-eight million, fifty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 92 108 138 144 162 184 207 216 243 276 324 368 414 432 486 552 621 648 761 828 972 1104 1242 1296 1522 1656 1863 1944 2283 2484 3044 3312 3726 3888 4566 4968 5589 6088 6849 7452 9132 9936 11178 12176 13698 14904 17503 18264 20547 22356 27396 29808 35006 36528 41094 44712 52509 54792 61641 70012 82188 89424 105018 109584 123282 140024 157527 164376 184923 210036 246564 280048 315054 328752 369846 420072 472581 493128 630108 739692 840144 945162 986256 1260216 1417743 1479384 1890324 2520432 2835486 2958768 3780648 4253229 5670972 7561296 8506458 11341944 17012916 22683888 34025832 68051664