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66264156 = 223579739
BaseRepresentation
bin1111110011000…
…1110001011100
311121200120100000
43330301301130
5113430423111
610324134300
71433143650
oct374616134
9147616300
1066264156
113444a272
121a237390
131096127a
148b2ca60
155c3dc56
hex3f31c5c

66264156 has 72 divisors (see below), whose sum is σ = 198540160. Its totient is φ = 18930672.

The previous prime is 66264131. The next prime is 66264169. The reversal of 66264156 is 65146266.

It is a happy number.

66264156 is a `hidden beast` number, since 6 + 6 + 2 + 641 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 66264156.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1935 + ... + 11673.

Almost surely, 266264156 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 66264156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99270080).

66264156 is an abundant number, since it is smaller than the sum of its proper divisors (132276004).

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

66264156 is a wasteful number, since it uses less digits than its factorization.

66264156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9765 (or 9751 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 66264156 is about 8140.2798477694. The cubic root of 66264156 is about 404.6624347688.

The spelling of 66264156 in words is "sixty-six million, two hundred sixty-four thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6804 9739 19478 29217 38956 58434 68173 87651 116868 136346 175302 204519 262953 272692 350604 409038 525906 613557 788859 818076 1051812 1227114 1577718 1840671 2366577 2454228 3155436 3681342 4733154 5522013 7362684 9466308 11044026 16566039 22088052 33132078 66264156