Search a number
-
+
21588138 = 23211138387
BaseRepresentation
bin101001001011…
…0100010101010
31111121210100200
41102112202222
521011310023
62050413030
7351332115
oct122264252
944553320
1021588138
1111205540
127291176
13461b260
142c1d57c
151d66743
hex14968aa

21588138 has 48 divisors (see below), whose sum is σ = 54958176. Its totient is φ = 6037920.

The previous prime is 21588103. The next prime is 21588139. The reversal of 21588138 is 83188512.

It is not an unprimeable number, because it can be changed into a prime (21588139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1620 + ... + 6767.

It is an arithmetic number, because the mean of its divisors is an integer number (1144962).

Almost surely, 221588138 is an apocalyptic number.

21588138 is an abundant number, since it is smaller than the sum of its proper divisors (33370038).

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

21588138 is a wasteful number, since it uses less digits than its factorization.

21588138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8419 (or 8416 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 21588138 is about 4646.3036921837. The cubic root of 21588138 is about 278.4443405644. Note that the first 3 decimals are identical.

It can be divided in two parts, 2158 and 8138, that added together give a triangular number (10296 = T143).

The spelling of 21588138 in words is "twenty-one million, five hundred eighty-eight thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1287 2574 8387 16774 25161 50322 75483 92257 109031 150966 184514 218062 276771 327093 553542 654186 830313 981279 1199341 1660626 1962558 2398682 3598023 7196046 10794069 21588138