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64855680 = 2735171987
BaseRepresentation
bin1111011101100…
…1111010000000
311112001000021020
43313121322000
5113100340210
610234025440
71415156421
oct367317200
9145030236
1064855680
113367803a
1219878280
131058a156
148883648
155a61770
hex3dd9e80

64855680 has 128 divisors (see below), whose sum is σ = 218998080. Its totient is φ = 16269312.

The previous prime is 64855667. The next prime is 64855711. The reversal of 64855680 is 8655846.

It is a tau number, because it is divible by the number of its divisors (128).

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, 31647 + ... + 33633.

Almost surely, 264855680 is an apocalyptic number.

64855680 is a gapful number since it is divisible by the number (60) 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 64855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109499040).

64855680 is an abundant number, since it is smaller than the sum of its proper divisors (154142400).

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

64855680 is a wasteful number, since it uses less digits than its factorization.

64855680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 64855680 is about 8053.3024281968. The cubic root of 64855680 is about 401.7747804065.

The spelling of 64855680 in words is "sixty-four million, eight hundred fifty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 272 320 340 384 408 480 510 544 640 680 816 960 1020 1088 1360 1632 1920 1987 2040 2176 2720 3264 3974 4080 5440 5961 6528 7948 8160 9935 10880 11922 15896 16320 19870 23844 29805 31792 32640 33779 39740 47688 59610 63584 67558 79480 95376 101337 119220 127168 135116 158960 168895 190752 202674 238440 254336 270232 317920 337790 381504 405348 476880 506685 540464 635840 675580 763008 810696 953760 1013370 1080928 1271680 1351160 1621392 1907520 2026740 2161856 2702320 3242784 3815040 4053480 4323712 5404640 6485568 8106960 10809280 12971136 16213920 21618560 32427840 64855680