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21493632 = 273223251
BaseRepresentation
bin101000111111…
…1011110000000
31111102222201110
41101333132000
521000244012
62044403320
7350456436
oct121773600
944388643
1021493632
1111150536
127246540
1345b7234
142bd6d56
151d4873c
hex147f780

21493632 has 64 divisors (see below), whose sum is σ = 57576960. Its totient is φ = 7104000.

The previous prime is 21493621. The next prime is 21493639. The reversal of 21493632 is 23639412.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 21493632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21493639) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 85507 + ... + 85757.

It is an arithmetic number, because the mean of its divisors is an integer number (899640).

Almost surely, 221493632 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 21493632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28788480).

21493632 is an abundant number, since it is smaller than the sum of its proper divisors (36083328).

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

21493632 is a wasteful number, since it uses less digits than its factorization.

21493632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 479 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 21493632 is about 4636.1225177944. The cubic root of 21493632 is about 278.0374326352.

The spelling of 21493632 in words is "twenty-one million, four hundred ninety-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 223 251 384 446 502 669 753 892 1004 1338 1506 1784 2008 2676 3012 3568 4016 5352 6024 7136 8032 10704 12048 14272 16064 21408 24096 28544 32128 42816 48192 55973 85632 96384 111946 167919 223892 335838 447784 671676 895568 1343352 1791136 2686704 3582272 5373408 7164544 10746816 21493632