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66710376 = 2332926533
BaseRepresentation
bin1111111001111…
…0101101101000
311122112020102200
43332132231220
5114034213001
610341500200
71440012615
oct376365550
9148466380
1066710376
1134724547
121a411660
1310a893c5
148c0750c
155ccb086
hex3f9eb68

66710376 has 24 divisors (see below), whose sum is σ = 180674130. Its totient is φ = 22236768.

The previous prime is 66710351. The next prime is 66710377. The reversal of 66710376 is 67301766.

It can be written as a sum of positive squares in only one way, i.e., 35640900 + 31069476 = 5970^2 + 5574^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×667103762 = 8900548532122752, which contains 22 as substring.

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 66710376.

It is not an unprimeable number, because it can be changed into a prime (66710377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 463195 + ... + 463338.

Almost surely, 266710376 is an apocalyptic number.

It is an amenable number.

66710376 is an abundant number, since it is smaller than the sum of its proper divisors (113963754).

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

66710376 is a wasteful number, since it uses less digits than its factorization.

66710376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926545 (or 926538 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 66710376 is about 8167.6420097847. The cubic root of 66710376 is about 405.5687300099.

The spelling of 66710376 in words is "sixty-six million, seven hundred ten thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 926533 1853066 2779599 3706132 5559198 7412264 8338797 11118396 16677594 22236792 33355188 66710376