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20853792 = 25321937103
BaseRepresentation
bin100111110001…
…1010000100000
31110020111000200
41033203100200
520314310132
62022545200
7342153141
oct117432040
943214020
1020853792
1110853843
126b98200
134421c2b
142aabac8
151c6dd7c
hex13e3420

20853792 has 144 divisors (see below), whose sum is σ = 64733760. Its totient is φ = 6345216.

The previous prime is 20853787. The next prime is 20853799. The reversal of 20853792 is 29735802.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (20853799) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202413 + ... + 202515.

It is an arithmetic number, because the mean of its divisors is an integer number (449540).

Almost surely, 220853792 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 20853792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32366880).

20853792 is an abundant number, since it is smaller than the sum of its proper divisors (43879968).

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

20853792 is a wasteful number, since it uses less digits than its factorization.

20853792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 20853792 is about 4566.5952305848. The cubic root of 20853792 is about 275.2506453123.

The spelling of 20853792 in words is "twenty million, eight hundred fifty-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 37 38 48 57 72 74 76 96 103 111 114 144 148 152 171 206 222 228 288 296 304 309 333 342 412 444 456 592 608 618 666 684 703 824 888 912 927 1184 1236 1332 1368 1406 1648 1776 1824 1854 1957 2109 2472 2664 2736 2812 3296 3552 3708 3811 3914 4218 4944 5328 5472 5624 5871 6327 7416 7622 7828 8436 9888 10656 11248 11433 11742 12654 14832 15244 15656 16872 17613 22496 22866 23484 25308 29664 30488 31312 33744 34299 35226 45732 46968 50616 60976 62624 67488 68598 70452 72409 91464 93936 101232 121952 137196 140904 144818 182928 187872 202464 217227 274392 281808 289636 365856 434454 548784 563616 579272 651681 868908 1097568 1158544 1303362 1737816 2317088 2606724 3475632 5213448 6951264 10426896 20853792