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68057664 = 2631729719
BaseRepresentation
bin1000000111001…
…11101001000000
311202001200120020
410003213221000
5114410321124
610430413440
71454323563
oct403475100
9152050506
1068057664
1135464804
121a961280
131113b70c
1490784da
155e95379
hex40e7a40

68057664 has 112 divisors (see below), whose sum is σ = 197510400. Its totient is φ = 20586496.

The previous prime is 68057657. The next prime is 68057699. The reversal of 68057664 is 46675086.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94297 + ... + 95015.

Almost surely, 268057664 is an apocalyptic number.

68057664 is a gapful number since it is divisible by the number (64) 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 68057664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98755200).

68057664 is an abundant number, since it is smaller than the sum of its proper divisors (129452736).

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

68057664 is a wasteful number, since it uses less digits than its factorization.

68057664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 68057664 is about 8249.7069038845. The cubic root of 68057664 is about 408.2808523787.

The spelling of 68057664 in words is "sixty-eight million, fifty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 64 68 87 96 102 116 136 174 192 204 232 272 348 408 464 493 544 696 719 816 928 986 1088 1392 1438 1479 1632 1856 1972 2157 2784 2876 2958 3264 3944 4314 5568 5752 5916 7888 8628 11504 11832 12223 15776 17256 20851 23008 23664 24446 31552 34512 36669 41702 46016 47328 48892 62553 69024 73338 83404 94656 97784 125106 138048 146676 166808 195568 250212 293352 333616 354467 391136 500424 586704 667232 708934 782272 1000848 1063401 1173408 1334464 1417868 2001696 2126802 2346816 2835736 4003392 4253604 5671472 8507208 11342944 17014416 22685888 34028832 68057664