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20187882 = 232112132331
BaseRepresentation
bin100110100000…
…0101011101010
31101222122120100
41031000223222
520132003012
62000410230
7333410541
oct115005352
941878510
1020187882
1110439500
126916976
13424aac0
142977158
151b8b8dc
hex1340aea

20187882 has 144 divisors (see below), whose sum is σ = 55770624. Its totient is φ = 5227200.

The previous prime is 20187833. The next prime is 20187887. The reversal of 20187882 is 28878102.

It is not an unprimeable number, because it can be changed into a prime (20187887) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 651207 + ... + 651237.

It is an arithmetic number, because the mean of its divisors is an integer number (387296).

Almost surely, 220187882 is an apocalyptic number.

20187882 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20187882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27885312).

20187882 is an abundant number, since it is smaller than the sum of its proper divisors (35582742).

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

20187882 is a wasteful number, since it uses less digits than its factorization.

20187882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 20187882 is about 4493.0926987989. The cubic root of 20187882 is about 272.2890975377.

The spelling of 20187882 in words is "twenty million, one hundred eighty-seven thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 9 11 13 18 22 23 26 31 33 39 46 62 66 69 78 93 99 117 121 138 143 186 198 207 234 242 253 279 286 299 341 363 403 414 429 506 558 598 682 713 726 759 806 858 897 1023 1089 1209 1287 1426 1518 1573 1794 2046 2139 2178 2277 2418 2574 2691 2783 3069 3146 3289 3627 3751 4278 4433 4554 4719 5382 5566 6138 6417 6578 7254 7502 7843 8349 8866 9269 9438 9867 11253 12834 13299 14157 15686 16698 18538 19734 22506 23529 25047 26598 27807 28314 29601 33759 36179 39897 47058 48763 50094 55614 59202 67518 70587 72358 79794 83421 86273 97526 101959 108537 141174 146289 166842 172546 203918 217074 258819 292578 305877 325611 438867 517638 611754 651222 776457 877734 917631 1121549 1552914 1835262 2243098 3364647 6729294 10093941 20187882