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21493640 = 2357292647
BaseRepresentation
bin101000111111…
…1011110001000
31111102222201202
41101333132020
521000244030
62044403332
7350456450
oct121773610
944388652
1021493640
1111150543
127246548
1345b723c
142bd6d60
151d48745
hex147f788

21493640 has 64 divisors (see below), whose sum is σ = 57196800. Its totient is φ = 7112448.

The previous prime is 21493639. The next prime is 21493643. The reversal of 21493640 is 4639412.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (21493643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6797 + ... + 9443.

It is an arithmetic number, because the mean of its divisors is an integer number (893700).

Almost surely, 221493640 is an apocalyptic number.

21493640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21493640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28598400).

21493640 is an abundant number, since it is smaller than the sum of its proper divisors (35703160).

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

21493640 is a wasteful number, since it uses less digits than its factorization.

21493640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2694 (or 2690 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 21493640 is about 4636.1233805843. The cubic root of 21493640 is about 278.0374671307.

The spelling of 21493640 in words is "twenty-one million, four hundred ninety-three thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 580 812 1015 1160 1624 2030 2647 4060 5294 8120 10588 13235 18529 21176 26470 37058 52940 74116 76763 92645 105880 148232 153526 185290 307052 370580 383815 537341 614104 741160 767630 1074682 1535260 2149364 2686705 3070520 4298728 5373410 10746820 21493640