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13097214 = 23613691
BaseRepresentation
bin110001111101…
…100011111110
3220122102000000
4301331203332
511323102324
61144415130
7216216204
oct61754376
926572000
1013097214
117436149
1244774a6
132937540
141a4d074
15123a9c9
hexc7d8fe

13097214 has 56 divisors (see below), whose sum is σ = 31766952. Its totient is φ = 4024080.

The previous prime is 13097209. The next prime is 13097257. The reversal of 13097214 is 41279031.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 18609 + ... + 19299.

It is an arithmetic number, because the mean of its divisors is an integer number (567267).

Almost surely, 213097214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13097214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15883476).

13097214 is an abundant number, since it is smaller than the sum of its proper divisors (18669738).

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

13097214 is an equidigital number, since it uses as much as digits as its factorization.

13097214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 13097214 is about 3619.0073224574. The cubic root of 13097214 is about 235.7181231961.

It can be divided in two parts, 130 and 97214, that added together give a square (97344 = 3122).

The spelling of 13097214 in words is "thirteen million, ninety-seven thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 691 702 729 1053 1382 1458 2073 2106 3159 4146 6219 6318 8983 9477 12438 17966 18657 18954 26949 37314 53898 55971 80847 111942 161694 167913 242541 335826 485082 503739 727623 1007478 1455246 2182869 4365738 6548607 13097214