Search a number
-
+
21937653 = 3223131809
BaseRepresentation
bin101001110101…
…1110111110101
31112021112210200
41103223313311
521104001103
62102111113
7354316113
oct123536765
945245720
1021937653
11114240a1
12741b499
13471137a
142cb0ab3
151dd50a3
hex14ebdf5

21937653 has 24 divisors (see below), whose sum is σ = 33359040. Its totient is φ = 13865280.

The previous prime is 21937639. The next prime is 21937679. The reversal of 21937653 is 35673912.

It is not a de Polignac number, because 21937653 - 24 = 21937637 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21937753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26713 + ... + 27521.

It is an arithmetic number, because the mean of its divisors is an integer number (1389960).

Almost surely, 221937653 is an apocalyptic number.

21937653 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

21937653 is a deficient number, since it is larger than the sum of its proper divisors (11421387).

21937653 is a wasteful number, since it uses less digits than its factorization.

21937653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 966 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 21937653 is about 4683.7648318420. The cubic root of 21937653 is about 279.9389875566.

The spelling of 21937653 in words is "twenty-one million, nine hundred thirty-seven thousand, six hundred fifty-three".

Divisors: 1 3 9 23 69 131 207 393 809 1179 2427 3013 7281 9039 18607 27117 55821 105979 167463 317937 953811 2437517 7312551 21937653