Search a number
-
+
65356164 = 22321815449
BaseRepresentation
bin1111100101010…
…0000110000100
311112222102210200
43321110012010
5113212344124
610252450500
71422342516
oct371240604
9145872720
1065356164
113398a065
1219a79a30
1310703bb3
148973bb6
155b0ebc9
hex3e54184

65356164 has 18 divisors (see below), whose sum is σ = 165205950. Its totient is φ = 21785376.

The previous prime is 65356157. The next prime is 65356199. The reversal of 65356164 is 46165356.

65356164 is a `hidden beast` number, since 6 + 5 + 35 + 616 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 55621764 + 9734400 = 7458^2 + 3120^2 .

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: 1815449 = 65356164 / (6 + 5 + 3 + 5 + 6 + 1 + 6 + 4).

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, 907689 + ... + 907760.

Almost surely, 265356164 is an apocalyptic number.

It is an amenable number.

65356164 is an abundant number, since it is smaller than the sum of its proper divisors (99849786).

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

65356164 is a wasteful number, since it uses less digits than its factorization.

65356164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815459 (or 1815454 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 65356164 is about 8084.3159265333. The cubic root of 65356164 is about 402.8056169415.

The spelling of 65356164 in words is "sixty-five million, three hundred fifty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1815449 3630898 5446347 7261796 10892694 16339041 21785388 32678082 65356164