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13397132 = 2272371293
BaseRepresentation
bin110011000110…
…110010001100
3221012122102002
4303012302030
511412202012
61155051432
7221605460
oct63066214
927178362
1013397132
117620511
1245a0b78
132a10bc8
141aca4a0
1512997c2
hexcc6c8c

13397132 has 48 divisors (see below), whose sum is σ = 28449792. Its totient is φ = 5396160.

The previous prime is 13397129. The next prime is 13397141. The reversal of 13397132 is 23179331.

It is a junction number, because it is equal to n+sod(n) for n = 13397095 and 13397104.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 45578 + ... + 45870.

It is an arithmetic number, because the mean of its divisors is an integer number (592704).

Almost surely, 213397132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13397132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14224896).

13397132 is an abundant number, since it is smaller than the sum of its proper divisors (15052660).

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

13397132 is a wasteful number, since it uses less digits than its factorization.

13397132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 396 counting only the distinct ones).

The product of its digits is 3402, while the sum is 29.

The square root of 13397132 is about 3660.2092836339. The cubic root of 13397132 is about 237.5038270851.

The spelling of 13397132 in words is "thirteen million, three hundred ninety-seven thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 23 28 46 71 92 142 161 284 293 322 497 586 644 994 1172 1633 1988 2051 3266 4102 6532 6739 8204 11431 13478 20803 22862 26956 41606 45724 47173 83212 94346 145621 188692 291242 478469 582484 956938 1913876 3349283 6698566 13397132