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21293532 = 223213173263
BaseRepresentation
bin101000100111…
…0100111011100
31111001211020100
41101032213130
520422343112
62040221100
7345664161
oct121164734
944054210
1021293532
1111024167
12716a790
134547130
142b84068
151d092dc
hex144e9dc

21293532 has 72 divisors (see below), whose sum is σ = 58522464. Its totient is φ = 6489216.

The previous prime is 21293521. The next prime is 21293563. The reversal of 21293532 is 23539212.

21293532 is a `hidden beast` number, since 2 + 129 + 3 + 532 = 666.

It is a super-3 number, since 3×212935323 (a number of 23 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21293496 and 21293505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80833 + ... + 81095.

It is an arithmetic number, because the mean of its divisors is an integer number (812812).

Almost surely, 221293532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21293532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29261232).

21293532 is an abundant number, since it is smaller than the sum of its proper divisors (37228932).

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

21293532 is a wasteful number, since it uses less digits than its factorization.

21293532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 454 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 21293532 is about 4614.4915212838. The cubic root of 21293532 is about 277.1719229697.

The spelling of 21293532 in words is "twenty-one million, two hundred ninety-three thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 173 234 263 346 468 519 526 692 789 1038 1052 1557 1578 2076 2249 2367 3114 3156 3419 4498 4734 6228 6747 6838 8996 9468 10257 13494 13676 20241 20514 26988 30771 40482 41028 45499 61542 80964 90998 123084 136497 181996 272994 409491 545988 591487 818982 1182974 1637964 1774461 2365948 3548922 5323383 7097844 10646766 21293532