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66028160 = 2751183113
BaseRepresentation
bin1111101111100…
…0001010000000
311121020120121102
43323320022000
5113400400120
610315113532
71431141632
oct373701200
9147216542
1066028160
11342a8a30
121a1428a8
13108aaa23
148aaaa52
155be3d75
hex3ef8280

66028160 has 128 divisors (see below), whose sum is σ = 175815360. Its totient is φ = 23511040.

The previous prime is 66028159. The next prime is 66028199. The reversal of 66028160 is 6182066.

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, 584264 + ... + 584376.

Almost surely, 266028160 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 66028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87907680).

66028160 is an abundant number, since it is smaller than the sum of its proper divisors (109787200).

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

66028160 is a wasteful number, since it uses less digits than its factorization.

66028160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 66028160 is about 8125.7713480014. The cubic root of 66028160 is about 404.1814693035.

The spelling of 66028160 in words is "sixty-six million, twenty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 83 88 110 113 128 160 166 176 220 226 320 332 352 415 440 452 565 640 664 704 830 880 904 913 1130 1243 1328 1408 1660 1760 1808 1826 2260 2486 2656 3320 3520 3616 3652 4520 4565 4972 5312 6215 6640 7040 7232 7304 9040 9130 9379 9944 10624 12430 13280 14464 14608 18080 18260 18758 19888 24860 26560 29216 36160 36520 37516 39776 46895 49720 53120 58432 72320 73040 75032 79552 93790 99440 103169 116864 146080 150064 159104 187580 198880 206338 292160 300128 375160 397760 412676 515845 584320 600256 750320 795520 825352 1031690 1200512 1500640 1650704 2063380 3001280 3301408 4126760 6002560 6602816 8253520 13205632 16507040 33014080 66028160