Search a number
-
+
21735264 = 253226409
BaseRepresentation
bin101001011101…
…0011101100000
31111220021011210
41102322131200
521031012024
62053510120
7352514055
oct122723540
944807153
1021735264
11112a6031
127342340
134670205
142c5b02c
151d95129
hex14ba760

21735264 has 24 divisors (see below), whose sum is σ = 57055320. Its totient is φ = 7245056.

The previous prime is 21735257. The next prime is 21735283. The reversal of 21735264 is 46253712.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×217352642 = 944843402299392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 113109 + ... + 113300.

It is an arithmetic number, because the mean of its divisors is an integer number (2377305).

Almost surely, 221735264 is an apocalyptic number.

21735264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21735264 is an abundant number, since it is smaller than the sum of its proper divisors (35320056).

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

21735264 is a wasteful number, since it uses less digits than its factorization.

21735264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226422 (or 226414 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 21735264 is about 4662.1093938259. The cubic root of 21735264 is about 279.0754539565.

Adding to 21735264 its reverse (46253712), we get a palindrome (67988976).

The spelling of 21735264 in words is "twenty-one million, seven hundred thirty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 226409 452818 679227 905636 1358454 1811272 2716908 3622544 5433816 7245088 10867632 21735264