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20815956 = 223271743113
BaseRepresentation
bin100111101101…
…0000001010100
31110011120010100
41033122001110
520312102311
62022054100
7341634630
oct117320124
943146110
1020815956
1110828377
126b7a330
13440a945
142a9bdc0
151c62a56
hex13da054

20815956 has 144 divisors (see below), whose sum is σ = 65729664. Its totient is φ = 5419008.

The previous prime is 20815933. The next prime is 20815961. The reversal of 20815956 is 65951802.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20815956.

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 47 ways as a sum of consecutive naturals, for example, 184156 + ... + 184268.

It is an arithmetic number, because the mean of its divisors is an integer number (456456).

Almost surely, 220815956 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 20815956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32864832).

20815956 is an abundant number, since it is smaller than the sum of its proper divisors (44913708).

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

20815956 is a wasteful number, since it uses less digits than its factorization.

20815956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 20815956 is about 4562.4506572674. The cubic root of 20815956 is about 275.0840778729.

The spelling of 20815956 in words is "twenty million, eight hundred fifteen thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 43 51 63 68 84 86 102 113 119 126 129 153 172 204 226 238 252 258 301 306 339 357 387 452 476 516 602 612 678 714 731 774 791 903 1017 1071 1204 1356 1428 1462 1548 1582 1806 1921 2034 2142 2193 2373 2709 2924 3164 3612 3842 4068 4284 4386 4746 4859 5117 5418 5763 6579 7119 7684 8772 9492 9718 10234 10836 11526 13158 13447 14238 14577 15351 17289 19436 20468 23052 26316 26894 28476 29154 30702 34013 34578 40341 43731 46053 53788 58308 61404 68026 69156 80682 82603 87462 92106 102039 121023 136052 161364 165206 174924 184212 204078 242046 247809 306117 330412 408156 484092 495618 578221 612234 743427 991236 1156442 1224468 1486854 1734663 2312884 2973708 3469326 5203989 6938652 10407978 20815956