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20785872 = 2433161229
BaseRepresentation
bin100111101001…
…0101011010000
31110010000212010
41033102223100
520310121442
62021302520
7341451132
oct117225320
943100763
1020785872
1110807808
126b64a40
1343ca043
142a91052
151c58b9c
hex13d2ad0

20785872 has 80 divisors (see below), whose sum is σ = 56583680. Its totient is φ = 6566400.

The previous prime is 20785871. The next prime is 20785873. The reversal of 20785872 is 27858702.

It is an interprime number because it is at equal distance from previous prime (20785871) and next prime (20785873).

It is a self number, because there is not a number n which added to its sum of digits gives 20785872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20785871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90654 + ... + 90882.

It is an arithmetic number, because the mean of its divisors is an integer number (707296).

Almost surely, 220785872 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 20785872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28291840).

20785872 is an abundant number, since it is smaller than the sum of its proper divisors (35797808).

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

20785872 is a wasteful number, since it uses less digits than its factorization.

20785872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 20785872 is about 4559.1525528326. The cubic root of 20785872 is about 274.9514933729.

The spelling of 20785872 in words is "twenty million, seven hundred eighty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 61 62 93 122 124 183 186 229 244 248 366 372 458 488 496 687 732 744 916 976 1374 1464 1488 1832 1891 2748 2928 3664 3782 5496 5673 7099 7564 10992 11346 13969 14198 15128 21297 22692 27938 28396 30256 41907 42594 45384 55876 56792 83814 85188 90768 111752 113584 167628 170376 223504 335256 340752 433039 670512 866078 1299117 1732156 2598234 3464312 5196468 6928624 10392936 20785872