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66764480 = 2651979139
BaseRepresentation
bin1111111010101…
…1111011000000
311122121222122112
43332223323000
5114042430410
610342554452
71440326426
oct376537300
9148558575
1066764480
1134761162
121a438a28
1310aa7c13
148c1d116
155cdc105
hex3fabec0

66764480 has 112 divisors (see below), whose sum is σ = 170688000. Its totient is φ = 24800256.

The previous prime is 66764473. The next prime is 66764549. The reversal of 66764480 is 8446766.

It is a congruent 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, 480251 + ... + 480389.

It is an arithmetic number, because the mean of its divisors is an integer number (1524000).

Almost surely, 266764480 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 66764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85344000).

66764480 is an abundant number, since it is smaller than the sum of its proper divisors (103923520).

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

66764480 is a wasteful number, since it uses less digits than its factorization.

66764480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The square root of 66764480 is about 8170.9534327397. The cubic root of 66764480 is about 405.6783429490.

The spelling of 66764480 in words is "sixty-six million, seven hundred sixty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 79 80 95 139 152 158 160 190 278 304 316 320 380 395 556 608 632 695 760 790 1112 1216 1264 1390 1501 1520 1580 2224 2528 2641 2780 3002 3040 3160 4448 5056 5282 5560 6004 6080 6320 7505 8896 10564 10981 11120 12008 12640 13205 15010 21128 21962 22240 24016 25280 26410 30020 42256 43924 44480 48032 52820 54905 60040 84512 87848 96064 105640 109810 120080 169024 175696 208639 211280 219620 240160 351392 417278 422560 439240 480320 702784 834556 845120 878480 1043195 1669112 1756960 2086390 3338224 3513920 4172780 6676448 8345560 13352896 16691120 33382240 66764480