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66107936 = 252971237
BaseRepresentation
bin1111110000101…
…1101000100000
311121101122001002
43330023220200
5113410423221
610320531132
71431623336
oct374135040
9147348032
1066107936
1134352964
121a180aa8
131090812b
148acbb56
155c0c80b
hex3f0ba20

66107936 has 24 divisors (see below), whose sum is σ = 134639820. Its totient is φ = 31913728.

The previous prime is 66107933. The next prime is 66107953. The reversal of 66107936 is 63970166.

It can be written as a sum of positive squares in 2 ways, for example, as 61528336 + 4579600 = 7844^2 + 2140^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 66107936.

It is not an unprimeable number, because it can be changed into a prime (66107933) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34691 + ... + 36546.

Almost surely, 266107936 is an apocalyptic number.

It is an amenable number.

66107936 is an abundant number, since it is smaller than the sum of its proper divisors (68531884).

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

66107936 is a wasteful number, since it uses less digits than its factorization.

66107936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71276 (or 71268 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 38.

The square root of 66107936 is about 8130.6786924586. The cubic root of 66107936 is about 404.3441827263.

The spelling of 66107936 in words is "sixty-six million, one hundred seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 71237 142474 284948 569896 1139792 2065873 2279584 4131746 8263492 16526984 33053968 66107936