Search a number
-
+
264910900 = 22522649109
BaseRepresentation
bin11111100101000…
…11100000110100
3200110110212102211
433302203200310
51020304122100
642141543204
76364463662
oct1762434064
9613425384
10264910900
11126598531
1274874b04
1342b63617
142727bc32
15183cc1ba
hexfca3834

264910900 has 18 divisors (see below), whose sum is σ = 574856870. Its totient is φ = 105964320.

The previous prime is 264910897. The next prime is 264910909. The reversal of 264910900 is 9019462.

It is a happy number.

264910900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 74857104 + 190053796 = 8652^2 + 13786^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264910909) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1324455 + ... + 1324654.

Almost surely, 2264910900 is an apocalyptic number.

264910900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264910900 is an abundant number, since it is smaller than the sum of its proper divisors (309945970).

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

264910900 is a wasteful number, since it uses less digits than its factorization.

264910900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2649123 (or 2649116 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 264910900 is about 16276.0836812791. The cubic root of 264910900 is about 642.2438329372.

The spelling of 264910900 in words is "two hundred sixty-four million, nine hundred ten thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2649109 5298218 10596436 13245545 26491090 52982180 66227725 132455450 264910900