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21820652 = 22723311093
BaseRepresentation
bin101001100111…
…1010011101100
31112001121022022
41103033103230
521041230102
62055405312
7353321030
oct123172354
945047268
1021820652
11113541a7
127383838
1346a0039
142c801c0
151db05a2
hex14cf4ec

21820652 has 48 divisors (see below), whose sum is σ = 47050752. Its totient is φ = 8648640.

The previous prime is 21820633. The next prime is 21820661. The reversal of 21820652 is 25602812.

It is a super-2 number, since 2×218206522 = 952281707410208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19418 + ... + 20510.

It is an arithmetic number, because the mean of its divisors is an integer number (980224).

Almost surely, 221820652 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 21820652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23525376).

21820652 is an abundant number, since it is smaller than the sum of its proper divisors (25230100).

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

21820652 is a wasteful number, since it uses less digits than its factorization.

21820652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 21820652 is about 4671.2580746518. The cubic root of 21820652 is about 279.4404300837.

The spelling of 21820652 in words is "twenty-one million, eight hundred twenty thousand, six hundred fifty-two".

Divisors: 1 2 4 7 14 23 28 31 46 62 92 124 161 217 322 434 644 713 868 1093 1426 2186 2852 4372 4991 7651 9982 15302 19964 25139 30604 33883 50278 67766 100556 135532 175973 237181 351946 474362 703892 779309 948724 1558618 3117236 5455163 10910326 21820652