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264966 = 23134379
BaseRepresentation
bin1000000101100000110
3111110110120
41000230012
531434331
65402410
72152332
oct1005406
9443416
10264966
11171089
12109406
13937b0
146c7c2
1553796
hex40b06

264966 has 32 divisors (see below), whose sum is σ = 591360. Its totient is φ = 78624.

The previous prime is 264961. The next prime is 264977. The reversal of 264966 is 669462.

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3315 + ... + 3393.

It is an arithmetic number, because the mean of its divisors is an integer number (18480).

2264966 is an apocalyptic number.

264966 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 264966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295680).

264966 is an abundant number, since it is smaller than the sum of its proper divisors (326394).

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

264966 is a wasteful number, since it uses less digits than its factorization.

264966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140.

The product of its digits is 15552, while the sum is 33.

The square root of 264966 is about 514.7484822707. The cubic root of 264966 is about 64.2288357570.

Subtracting 264966 from its reverse (669462), we obtain a square (404496 = 6362).

The spelling of 264966 in words is "two hundred sixty-four thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 13 26 39 43 78 79 86 129 158 237 258 474 559 1027 1118 1677 2054 3081 3354 3397 6162 6794 10191 20382 44161 88322 132483 264966