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64141236 = 22325333617
BaseRepresentation
bin1111010010101…
…1011110110100
311110200201020100
43310223132310
5112410004421
610210434100
71406122455
oct364533664
9143621210
1064141236
113322a295
1219592930
1310399bc3
14873912c
15596ec26
hex3d2b7b4

64141236 has 36 divisors (see below), whose sum is σ = 165198852. Its totient is φ = 20976384.

The previous prime is 64141211. The next prime is 64141237. The reversal of 64141236 is 63214146.

64141236 is a `hidden beast` number, since 641 + 4 + 12 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25948836 + 38192400 = 5094^2 + 6180^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×641412362 = 8228196311215392, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64141237) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14901 + ... + 18716.

It is an arithmetic number, because the mean of its divisors is an integer number (4588857).

Almost surely, 264141236 is an apocalyptic number.

It is an amenable number.

64141236 is an abundant number, since it is smaller than the sum of its proper divisors (101057616).

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

64141236 is a wasteful number, since it uses less digits than its factorization.

64141236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33680 (or 33675 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 64141236 is about 8008.8223853448. The cubic root of 64141236 is about 400.2940254862.

The spelling of 64141236 in words is "sixty-four million, one hundred forty-one thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 33617 67234 100851 134468 201702 302553 403404 605106 1210212 1781701 3563402 5345103 7126804 10690206 16035309 21380412 32070618 64141236