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18270920 = 2351797277
BaseRepresentation
bin100010110110…
…0101011001000
31021101020222202
41011230223020
514134132140
61451335332
7311204663
oct105545310
937336882
1018270920
11a34a238
126151548
133a293c5
1425d86da
15190d915
hex116cac8

18270920 has 64 divisors (see below), whose sum is σ = 44135280. Its totient is φ = 6782976.

The previous prime is 18270893. The next prime is 18270961. The reversal of 18270920 is 2907281.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6832996 + 11437924 = 2614^2 + 3382^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 65822 + ... + 66098.

Almost surely, 218270920 is an apocalyptic number.

18270920 is a gapful number since it is divisible by the number (10) 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 18270920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22067640).

18270920 is an abundant number, since it is smaller than the sum of its proper divisors (25864360).

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

18270920 is a wasteful number, since it uses less digits than its factorization.

18270920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 18270920 is about 4274.4496721800. The cubic root of 18270920 is about 263.3824331170.

The spelling of 18270920 in words is "eighteen million, two hundred seventy thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 97 136 170 194 277 340 388 485 554 680 776 970 1108 1385 1649 1940 2216 2770 3298 3880 4709 5540 6596 8245 9418 11080 13192 16490 18836 23545 26869 32980 37672 47090 53738 65960 94180 107476 134345 188360 214952 268690 456773 537380 913546 1074760 1827092 2283865 3654184 4567730 9135460 18270920