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66770064 = 24322959271
BaseRepresentation
bin1111111010110…
…1010010010000
311122122021022100
43332231102100
5114043120224
610343040400
71440351624
oct376552220
9148567270
1066770064
1134765379
121a440100
1310aaa61a
148c21184
155cddac9
hex3fad490

66770064 has 120 divisors (see below), whose sum is σ = 197308800. Its totient is φ = 21047040.

The previous prime is 66770057. The next prime is 66770069. The reversal of 66770064 is 46007766.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (66770069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246249 + ... + 246519.

It is an arithmetic number, because the mean of its divisors is an integer number (1644240).

Almost surely, 266770064 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 66770064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98654400).

66770064 is an abundant number, since it is smaller than the sum of its proper divisors (130538736).

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

66770064 is a wasteful number, since it uses less digits than its factorization.

66770064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 66770064 is about 8171.2951237855. The cubic root of 66770064 is about 405.6896525791.

The spelling of 66770064 in words is "sixty-six million, seven hundred seventy thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 59 72 87 116 118 144 174 177 232 236 261 271 348 354 464 472 522 531 542 696 708 813 944 1044 1062 1084 1392 1416 1626 1711 2088 2124 2168 2439 2832 3252 3422 4176 4248 4336 4878 5133 6504 6844 7859 8496 9756 10266 13008 13688 15399 15718 15989 19512 20532 23577 27376 30798 31436 31978 39024 41064 47154 47967 61596 62872 63956 70731 82128 94308 95934 123192 125744 127912 141462 143901 188616 191868 246384 255824 282924 287802 377232 383736 463681 565848 575604 767472 927362 1131696 1151208 1391043 1854724 2302416 2782086 3709448 4173129 5564172 7418896 8346258 11128344 16692516 22256688 33385032 66770064