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65713164 = 223112167271
BaseRepresentation
bin1111101010101…
…1010000001100
311120122120111220
43322223100030
5113310310124
610304243340
71425360366
oct372532014
9146576456
1065713164
1134103300
121a010550
13107ca53a
148a27d36
155b80879
hex3eab40c

65713164 has 72 divisors (see below), whose sum is σ = 170171904. Its totient is φ = 19720800.

The previous prime is 65713133. The next prime is 65713181. The reversal of 65713164 is 46131756.

65713164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242349 + ... + 242619.

Almost surely, 265713164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65713164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85085952).

65713164 is an abundant number, since it is smaller than the sum of its proper divisors (104458740).

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

65713164 is a wasteful number, since it uses less digits than its factorization.

65713164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 454 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 65713164 is about 8106.3656468235. The cubic root of 65713164 is about 403.5377109287.

The spelling of 65713164 in words is "sixty-five million, seven hundred thirteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 167 242 271 334 363 484 501 542 668 726 813 1002 1084 1452 1626 1837 2004 2981 3252 3674 5511 5962 7348 8943 11022 11924 17886 20207 22044 32791 35772 40414 45257 60621 65582 80828 90514 98373 121242 131164 135771 181028 196746 242484 271542 393492 497827 543084 995654 1493481 1991308 2986962 5476097 5973924 10952194 16428291 21904388 32856582 65713164