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20368992 = 2537171783
BaseRepresentation
bin100110110110…
…0111001100000
31102022212000010
41031230321200
520203301432
62004324520
7335063550
oct115547140
942285003
1020368992
1110552586
1269a3740
1342b2377
1429c3160
151bc53cc
hex136ce60

20368992 has 96 divisors (see below), whose sum is σ = 64737792. Its totient is φ = 5474304.

The previous prime is 20368987. The next prime is 20369017. The reversal of 20368992 is 29986302.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 20368992.

It is a congruent number.

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, 10533 + ... + 12315.

It is an arithmetic number, because the mean of its divisors is an integer number (674352).

Almost surely, 220368992 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 20368992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32368896).

20368992 is an abundant number, since it is smaller than the sum of its proper divisors (44368800).

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

20368992 is a wasteful number, since it uses less digits than its factorization.

20368992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 20368992 is about 4513.2019675614. The cubic root of 20368992 is about 273.1009300895.

The spelling of 20368992 in words is "twenty million, three hundred sixty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1783 1904 2856 3566 3808 5349 5712 7132 10698 11424 12481 14264 21396 24962 28528 30311 37443 42792 49924 57056 60622 74886 85584 90933 99848 121244 149772 171168 181866 199696 212177 242488 299544 363732 399392 424354 484976 599088 636531 727464 848708 969952 1198176 1273062 1454928 1697416 2546124 2909856 3394832 5092248 6789664 10184496 20368992