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20258920 = 23511411123
BaseRepresentation
bin100110101001…
…0000001101000
31102010021000101
41031102001220
520141241140
62002115144
7334124623
oct115220150
942107011
1020258920
1110487910
12694bab4
134274236
142994dba
151ba299a
hex1352068

20258920 has 64 divisors (see below), whose sum is σ = 50984640. Its totient is φ = 7180800.

The previous prime is 20258911. The next prime is 20258923. The reversal of 20258920 is 2985202.

It is not an unprimeable number, because it can be changed into a prime (20258923) 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, 17479 + ... + 18601.

It is an arithmetic number, because the mean of its divisors is an integer number (796635).

Almost surely, 220258920 is an apocalyptic number.

20258920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20258920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25492320).

20258920 is an abundant number, since it is smaller than the sum of its proper divisors (30725720).

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

20258920 is a wasteful number, since it uses less digits than its factorization.

20258920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 20258920 is about 4500.9910019906. The cubic root of 20258920 is about 272.6081045701.

The spelling of 20258920 in words is "twenty million, two hundred fifty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 164 205 220 328 410 440 451 820 902 1123 1640 1804 2246 2255 3608 4492 4510 5615 8984 9020 11230 12353 18040 22460 24706 44920 46043 49412 61765 92086 98824 123530 184172 230215 247060 368344 460430 494120 506473 920860 1012946 1841720 2025892 2532365 4051784 5064730 10129460 20258920