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13197320 = 2352931367
BaseRepresentation
bin110010010110…
…000000001000
3220211111022122
4302112000020
511334303240
61150510412
7220114103
oct62260010
926744278
1013197320
1174a4384
124505408
132970c86
141a7773a
15125a4b5
hexc96008

13197320 has 64 divisors (see below), whose sum is σ = 31795200. Its totient is φ = 4919040.

The previous prime is 13197313. The next prime is 13197337. The reversal of 13197320 is 2379131.

It is a self number, because there is not a number n which added to its sum of digits gives 13197320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35777 + ... + 36143.

It is an arithmetic number, because the mean of its divisors is an integer number (496800).

Almost surely, 213197320 is an apocalyptic number.

13197320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13197320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15897600).

13197320 is an abundant number, since it is smaller than the sum of its proper divisors (18597880).

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

13197320 is a wasteful number, since it uses less digits than its factorization.

13197320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 26.

The square root of 13197320 is about 3632.8115833332. The cubic root of 13197320 is about 236.3171547472.

The spelling of 13197320 in words is "thirteen million, one hundred ninety-seven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 31 40 58 62 116 124 145 155 232 248 290 310 367 580 620 734 899 1160 1240 1468 1798 1835 2936 3596 3670 4495 7192 7340 8990 10643 11377 14680 17980 21286 22754 35960 42572 45508 53215 56885 85144 91016 106430 113770 212860 227540 329933 425720 455080 659866 1319732 1649665 2639464 3299330 6598660 13197320