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21638133 = 32111271721
BaseRepresentation
bin101001010001…
…0101111110101
31111201022221100
41102202233311
521014410013
62051440313
7351630636
oct122425765
944638840
1021638133
111123a060
1272b6099
134637c3a
142c3388d
151d76473
hex14a2bf5

21638133 has 24 divisors (see below), whose sum is σ = 34384896. Its totient is φ = 13003200.

The previous prime is 21638129. The next prime is 21638143. The reversal of 21638133 is 33183612.

It is a happy number.

21638133 is a `hidden beast` number, since 21 + 638 + 1 + 3 + 3 = 666.

It is not a de Polignac number, because 21638133 - 22 = 21638129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21638097 and 21638106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21638143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11713 + ... + 13433.

It is an arithmetic number, because the mean of its divisors is an integer number (1432704).

Almost surely, 221638133 is an apocalyptic number.

It is an amenable number.

21638133 is a deficient number, since it is larger than the sum of its proper divisors (12746763).

21638133 is a wasteful number, since it uses less digits than its factorization.

21638133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865 (or 1862 counting only the distinct ones).

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

The square root of 21638133 is about 4651.6806640181. The cubic root of 21638133 is about 278.6591204342.

It can be divided in two parts, 2163 and 8133, that added together give a triangular number (10296 = T143).

The spelling of 21638133 in words is "twenty-one million, six hundred thirty-eight thousand, one hundred thirty-three".

Divisors: 1 3 9 11 33 99 127 381 1143 1397 1721 4191 5163 12573 15489 18931 56793 170379 218567 655701 1967103 2404237 7212711 21638133