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13816590 = 2354147239
BaseRepresentation
bin110100101101…
…001100001110
3221222221210120
4310231030032
512014112330
61212045410
7225303414
oct64551416
927887716
1013816590
117887677
124763866
132b29ac8
141b992b4
15132dc10
hexd2d30e

13816590 has 64 divisors (see below), whose sum is σ = 34836480. Its totient is φ = 3503360.

The previous prime is 13816571. The next prime is 13816603. The reversal of 13816590 is 9561831.

13816590 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57691 + ... + 57929.

It is an arithmetic number, because the mean of its divisors is an integer number (544320).

Almost surely, 213816590 is an apocalyptic number.

13816590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13816590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240).

13816590 is an abundant number, since it is smaller than the sum of its proper divisors (21019890).

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

13816590 is a wasteful number, since it uses less digits than its factorization.

13816590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337.

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 13816590 is about 3717.0673924480. The cubic root of 13816590 is about 239.9571103914.

The spelling of 13816590 in words is "thirteen million, eight hundred sixteen thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 41 47 82 94 123 141 205 235 239 246 282 410 470 478 615 705 717 1195 1230 1410 1434 1927 2390 3585 3854 5781 7170 9635 9799 11233 11562 19270 19598 22466 28905 29397 33699 48995 56165 57810 58794 67398 97990 112330 146985 168495 293970 336990 460553 921106 1381659 2302765 2763318 4605530 6908295 13816590