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13189410 = 23251311273
BaseRepresentation
bin110010010100…
…000100100010
3220211002110200
4302110010202
511334030120
61150410030
7220052043
oct62240442
926732420
1013189410
117499443
124500916
13296a4b0
141a748ca
151257e90
hexc94122

13189410 has 48 divisors (see below), whose sum is σ = 36933624. Its totient is φ = 3246336.

The previous prime is 13189409. The next prime is 13189411. The reversal of 13189410 is 1498131.

It is an interprime number because it is at equal distance from previous prime (13189409) and next prime (13189411).

It can be written as a sum of positive squares in 4 ways, for example, as 6548481 + 6640929 = 2559^2 + 2577^2 .

It is a super-2 number, since 2×131894102 = 347921072296200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13189411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4467 + ... + 6806.

Almost surely, 213189410 is an apocalyptic number.

13189410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13189410 is an abundant number, since it is smaller than the sum of its proper divisors (23744214).

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

13189410 is a wasteful number, since it uses less digits than its factorization.

13189410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11299 (or 11296 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 13189410 is about 3631.7227317074. The cubic root of 13189410 is about 236.2699319708.

The spelling of 13189410 in words is "thirteen million, one hundred eighty-nine thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 11273 22546 33819 56365 67638 101457 112730 146549 169095 202914 293098 338190 439647 507285 732745 879294 1014570 1318941 1465490 2198235 2637882 4396470 6594705 13189410