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66130956 = 22321836971
BaseRepresentation
bin1111110001000…
…1010000001100
311121102210121200
43330101100030
5113412142311
610321225500
71432050423
oct374212014
9147383550
1066130956
1134369191
121a192290
1310915758
148ad62ba
155c14556
hex3f1140c

66130956 has 18 divisors (see below), whose sum is σ = 167164452. Its totient is φ = 22043640.

The previous prime is 66130937. The next prime is 66130993. The reversal of 66130956 is 65903166.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1836971 = 66130956 / (6 + 6 + 1 + 3 + 0 + 9 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 66130956.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 918450 + ... + 918521.

It is an arithmetic number, because the mean of its divisors is an integer number (9286914).

Almost surely, 266130956 is an apocalyptic number.

It is an amenable number.

66130956 is an abundant number, since it is smaller than the sum of its proper divisors (101033496).

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

66130956 is a wasteful number, since it uses less digits than its factorization.

66130956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836981 (or 1836976 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 66130956 is about 8132.0941952243. The cubic root of 66130956 is about 404.3911106418.

The spelling of 66130956 in words is "sixty-six million, one hundred thirty thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 1836971 3673942 5510913 7347884 11021826 16532739 22043652 33065478 66130956