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13810698 = 23211217373
BaseRepresentation
bin110100101011…
…110000001010
3221222122201100
4310223300022
512013420243
61212002230
7225250266
oct64536012
927878640
1013810698
117883200
124760376
132b27215
141b970a6
15132c0d3
hexd2bc0a

13810698 has 72 divisors (see below), whose sum is σ = 34918884. Its totient is φ = 3928320.

The previous prime is 13810691. The next prime is 13810711. The reversal of 13810698 is 89601831.

It can be written as a sum of positive squares in 2 ways, for example, as 13417569 + 393129 = 3663^2 + 627^2 .

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13810691) 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 35 ways as a sum of consecutive naturals, for example, 36840 + ... + 37212.

Almost surely, 213810698 is an apocalyptic number.

13810698 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13810698, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17459442).

13810698 is an abundant number, since it is smaller than the sum of its proper divisors (21108186).

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

13810698 is a wasteful number, since it uses less digits than its factorization.

13810698 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 13810698 is about 3716.2747476472. The cubic root of 13810698 is about 239.9229961293.

The spelling of 13810698 in words is "thirteen million, eight hundred ten thousand, six hundred ninety-eight".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 121 153 187 198 242 306 363 373 374 561 726 746 1089 1119 1122 1683 2057 2178 2238 3357 3366 4103 4114 6171 6341 6714 8206 12309 12342 12682 18513 19023 24618 36927 37026 38046 45133 57069 69751 73854 90266 114138 135399 139502 209253 270798 406197 418506 627759 767261 812394 1255518 1534522 2301783 4603566 6905349 13810698