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20840652 = 223671021
BaseRepresentation
bin100111110000…
…0000011001100
31110012211000000
41033200003030
520313400102
62022404300
7342066630
oct117400314
943184000
1020840652
1110844988
126b90690
134418c61
142aa6dc0
151c6a01c
hex13e00cc

20840652 has 84 divisors (see below), whose sum is σ = 62554576. Its totient is φ = 5948640.

The previous prime is 20840639. The next prime is 20840653. The reversal of 20840652 is 25604802.

20840652 is a `hidden beast` number, since 2 + 0 + 8 + 4 + 0 + 652 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20840653) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 19902 + ... + 20922.

Almost surely, 220840652 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 20840652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31277288).

20840652 is an abundant number, since it is smaller than the sum of its proper divisors (41713924).

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

20840652 is a wasteful number, since it uses less digits than its factorization.

20840652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 20840652 is about 4565.1562952434. The cubic root of 20840652 is about 275.1928212421.

The spelling of 20840652 in words is "twenty million, eight hundred forty thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 729 756 972 1021 1134 1458 1701 2042 2268 2916 3063 3402 4084 5103 6126 6804 7147 9189 10206 12252 14294 18378 20412 21441 27567 28588 36756 42882 55134 64323 82701 85764 110268 128646 165402 192969 248103 257292 330804 385938 496206 578907 744309 771876 992412 1157814 1488618 1736721 2315628 2977236 3473442 5210163 6946884 10420326 20840652