Search a number
-
+
264690 = 232517173
BaseRepresentation
bin1000000100111110010
3111110002100
41000213302
531432230
65401230
72151456
oct1004762
9443070
10264690
11170958
12109216
139362a
146c666
1553660
hex409f2

264690 has 48 divisors (see below), whose sum is σ = 732888. Its totient is φ = 66048.

The previous prime is 264659. The next prime is 264697. The reversal of 264690 is 96462.

It can be written as a sum of positive squares in 4 ways, for example, as 263169 + 1521 = 513^2 + 39^2 .

It is a super-2 number, since 2×2646902 = 140121592200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (264697) by changing a digit.

264690 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 23 ways as a sum of consecutive naturals, for example, 1444 + ... + 1616.

2264690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366444).

264690 is an abundant number, since it is smaller than the sum of its proper divisors (468198).

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

264690 is a wasteful number, since it uses less digits than its factorization.

264690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 264690 is about 514.4803203233. The cubic root of 264690 is about 64.2065268352.

The spelling of 264690 in words is "two hundred sixty-four thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 173 255 306 346 510 519 765 865 1038 1530 1557 1730 2595 2941 3114 5190 5882 7785 8823 14705 15570 17646 26469 29410 44115 52938 88230 132345 264690