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13185342 = 234199409
BaseRepresentation
bin110010010011…
…000100111110
3220210212220000
4302103010332
511333412332
61150335130
7220034142
oct62230476
926725800
1013185342
117496385
1244ba4a6
1329686a1
141a73222
151256b7c
hexc9313e

13185342 has 40 divisors (see below), whose sum is σ = 29766000. Its totient is φ = 4362336.

The previous prime is 13185317. The next prime is 13185349. The reversal of 13185342 is 24358131.

It is a happy number.

13185342 is a `hidden beast` number, since 1 + 318 + 5 + 342 = 666.

13185342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13185349) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32034 + ... + 32442.

It is an arithmetic number, because the mean of its divisors is an integer number (744150).

Almost surely, 213185342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13185342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14883000).

13185342 is an abundant number, since it is smaller than the sum of its proper divisors (16580658).

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

13185342 is a wasteful number, since it uses less digits than its factorization.

13185342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 613 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 13185342 is about 3631.1626237336. The cubic root of 13185342 is about 236.2456386194.

The spelling of 13185342 in words is "thirteen million, one hundred eighty-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 199 398 409 597 818 1194 1227 1791 2454 3582 3681 5373 7362 10746 11043 16119 22086 32238 33129 66258 81391 162782 244173 488346 732519 1465038 2197557 4395114 6592671 13185342