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66107960 = 2355331183
BaseRepresentation
bin1111110000101…
…1101000111000
311121101122001222
43330023220320
5113410423320
610320531212
71431623402
oct374135070
9147348058
1066107960
1134352986
121a180b08
1310908149
148acbb72
155c0c825
hex3f0ba38

66107960 has 32 divisors (see below), whose sum is σ = 151554240. Its totient is φ = 25943424.

The previous prime is 66107953. The next prime is 66107963. The reversal of 66107960 is 6970166.

It is a happy number.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 66107960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66107963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13472 + ... + 17711.

It is an arithmetic number, because the mean of its divisors is an integer number (4736070).

Almost surely, 266107960 is an apocalyptic number.

It is an amenable number.

66107960 is an abundant number, since it is smaller than the sum of its proper divisors (85446280).

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

66107960 is a wasteful number, since it uses less digits than its factorization.

66107960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31247 (or 31243 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 66107960 is about 8130.6801683500. The cubic root of 66107960 is about 404.3442316577.

The spelling of 66107960 in words is "sixty-six million, one hundred seven thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 31183 62366 124732 155915 249464 311830 623660 1247320 1652699 3305398 6610796 8263495 13221592 16526990 33053980 66107960