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66912560 = 24511135849
BaseRepresentation
bin1111111101000…
…0000100110000
311122220111202222
43333100010300
5114112200220
610350100212
71441514231
oct377200460
9148814688
1066912560
1134852440
121a4aa668
1310b2a440
148c5b088
155d1ae25
hex3fd0130

66912560 has 80 divisors (see below), whose sum is σ = 182800800. Its totient is φ = 22456320.

The previous prime is 66912529. The next prime is 66912577. The reversal of 66912560 is 6521966.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 66912560.

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, 8516 + ... + 14364.

It is an arithmetic number, because the mean of its divisors is an integer number (2285010).

Almost surely, 266912560 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 66912560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91400400).

66912560 is an abundant number, since it is smaller than the sum of its proper divisors (115888240).

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

66912560 is a wasteful number, since it uses less digits than its factorization.

66912560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5886 (or 5880 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 66912560 is about 8180.0097799453. The cubic root of 66912560 is about 405.9780456796.

The spelling of 66912560 in words is "sixty-six million, nine hundred twelve thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1430 2288 2860 5720 5849 11440 11698 23396 29245 46792 58490 64339 76037 93584 116980 128678 152074 233960 257356 304148 321695 380185 467920 514712 608296 643390 760370 836407 1029424 1216592 1286780 1520740 1672814 2573560 3041480 3345628 4182035 5147120 6082960 6691256 8364070 13382512 16728140 33456280 66912560