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20187296 = 251743863
BaseRepresentation
bin100110100000…
…0100010100000
31101222121202122
41031000202200
520131443141
62000403412
7333406043
oct115004240
941877678
1020187296
1110439018
126916568
13424a75c
142976c5a
151b8b64b
hex13408a0

20187296 has 48 divisors (see below), whose sum is σ = 43110144. Its totient is φ = 9268224.

The previous prime is 20187289. The next prime is 20187317. The reversal of 20187296 is 69278102.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22961 + ... + 23823.

It is an arithmetic number, because the mean of its divisors is an integer number (898128).

Almost surely, 220187296 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 20187296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21555072).

20187296 is an abundant number, since it is smaller than the sum of its proper divisors (22922848).

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

20187296 is a wasteful number, since it uses less digits than its factorization.

20187296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 20187296 is about 4493.0274871182. The cubic root of 20187296 is about 272.2864629051.

The spelling of 20187296 in words is "twenty million, one hundred eighty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 43 68 86 136 172 272 344 544 688 731 863 1376 1462 1726 2924 3452 5848 6904 11696 13808 14671 23392 27616 29342 37109 58684 74218 117368 148436 234736 296872 469472 593744 630853 1187488 1261706 2523412 5046824 10093648 20187296