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21940032 = 263229499
BaseRepresentation
bin101001110110…
…0011101000000
31112021200001210
41103230131000
521104040112
62102130120
7354326052
oct123543500
945250053
1021940032
1111425964
127420940
13471248a
142cb18d2
151dd5b3c
hex14ec740

21940032 has 56 divisors (see below), whose sum is σ = 58420000. Its totient is φ = 7266816.

The previous prime is 21940027. The next prime is 21940063. The reversal of 21940032 is 23004912.

21940032 is nontrivially palindromic in base 5.

It is a super-2 number, since 2×219400322 = 962730008322048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21939990 and 21940008.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 43719 + ... + 44217.

Almost surely, 221940032 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 21940032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29210000).

21940032 is an abundant number, since it is smaller than the sum of its proper divisors (36479968).

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

21940032 is a wasteful number, since it uses less digits than its factorization.

21940032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 21940032 is about 4684.0187873236. The cubic root of 21940032 is about 279.9491063963.

Adding to 21940032 its reverse (23004912), we get a palindrome (44944944).

The spelling of 21940032 in words is "twenty-one million, nine hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 229 458 499 687 916 998 1374 1497 1832 1996 2748 2994 3664 3992 5496 5988 7328 7984 10992 11976 14656 15968 21984 23952 31936 43968 47904 95808 114271 228542 342813 457084 685626 914168 1371252 1828336 2742504 3656672 5485008 7313344 10970016 21940032