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264920 = 23537179
BaseRepresentation
bin1000000101011011000
3111110101212
41000223120
531434140
65402252
72152235
oct1005330
9443355
10264920
11171047
12109388
1393776
146c78c
1553765
hex40ad8

264920 has 32 divisors (see below), whose sum is σ = 615600. Its totient is φ = 102528.

The previous prime is 264919. The next prime is 264931. The reversal of 264920 is 29462.

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1391 + ... + 1569.

2264920 is an apocalyptic number.

264920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307800).

264920 is an abundant number, since it is smaller than the sum of its proper divisors (350680).

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

264920 is a wasteful number, since it uses less digits than its factorization.

264920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 264920 is about 514.7037983151. The cubic root of 264920 is about 64.2251186796.

The spelling of 264920 in words is "two hundred sixty-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 179 185 296 358 370 716 740 895 1432 1480 1790 3580 6623 7160 13246 26492 33115 52984 66230 132460 264920