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13149810 = 2335113431
BaseRepresentation
bin110010001010…
…011001110010
3220202002011000
4302022121302
511331243220
61145502430
7216525432
oct62123162
926662130
1013149810
117471713
1244a1a16
13295546b
141a642c2
15124b390
hexc8a672

13149810 has 64 divisors (see below), whose sum is σ = 35458560. Its totient is φ = 3467520.

The previous prime is 13149809. The next prime is 13149827. The reversal of 13149810 is 1894131.

It is a super-2 number, since 2×131498102 = 345835006072200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 30295 + ... + 30725.

It is an arithmetic number, because the mean of its divisors is an integer number (554040).

Almost surely, 213149810 is an apocalyptic number.

13149810 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 13149810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17729280).

13149810 is an abundant number, since it is smaller than the sum of its proper divisors (22308750).

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

13149810 is a wasteful number, since it uses less digits than its factorization.

13149810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 554 counting only the distinct ones).

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

The square root of 13149810 is about 3626.2666752460. The cubic root of 13149810 is about 236.0332352887.

The spelling of 13149810 in words is "thirteen million, one hundred forty-nine thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 113 135 226 270 339 431 565 678 862 1017 1130 1293 1695 2034 2155 2586 3051 3390 3879 4310 5085 6102 6465 7758 10170 11637 12930 15255 19395 23274 30510 38790 48703 58185 97406 116370 146109 243515 292218 438327 487030 730545 876654 1314981 1461090 2191635 2629962 4383270 6574905 13149810