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664956 = 223347131
BaseRepresentation
bin10100010010101111100
31020210011000
42202111330
5132234311
622130300
75436435
oct2422574
91223130
10664956
11414656
12280990
131a3886
1413448c
15d2056
hexa257c

664956 has 48 divisors (see below), whose sum is σ = 1774080. Its totient is φ = 215280.

The previous prime is 664949. The next prime is 664967. The reversal of 664956 is 659466.

It is a happy number.

664956 is a `hidden beast` number, since 6 + 649 + 5 + 6 = 666.

664956 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 (36).

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 664956.

It is a congruent number.

It is an unprimeable number.

664956 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5011 + ... + 5141.

It is an arithmetic number, because the mean of its divisors is an integer number (36960).

2664956 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 664956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887040).

664956 is an abundant number, since it is smaller than the sum of its proper divisors (1109124).

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

664956 is a wasteful number, since it uses less digits than its factorization.

664956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 183 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 664956 is about 815.4483429378. The cubic root of 664956 is about 87.2832622226.

The spelling of 664956 in words is "six hundred sixty-four thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 131 141 188 262 282 393 423 524 564 786 846 1179 1269 1572 1692 2358 2538 3537 4716 5076 6157 7074 12314 14148 18471 24628 36942 55413 73884 110826 166239 221652 332478 664956