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13680852 = 22317199337
BaseRepresentation
bin110100001100…
…000011010100
3221202001121020
4310030003110
512000241402
61205121140
7224166603
oct64140324
927661536
1013680852
1177a4699
1246b91b0
132ab00a3
141b61a3a
1513038bc
hexd0c0d4

13680852 has 48 divisors (see below), whose sum is σ = 34070400. Its totient is φ = 4257792.

The previous prime is 13680829. The next prime is 13680853. The reversal of 13680852 is 25808631.

It is a happy number.

It is a super-2 number, since 2×136808522 = 374331422891808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13680853) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40428 + ... + 40764.

It is an arithmetic number, because the mean of its divisors is an integer number (709800).

Almost surely, 213680852 is an apocalyptic number.

13680852 is a gapful number since it is divisible by the number (12) 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 13680852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17035200).

13680852 is an abundant number, since it is smaller than the sum of its proper divisors (20389548).

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

13680852 is a wasteful number, since it uses less digits than its factorization.

13680852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 13680852 is about 3698.7635771971. The cubic root of 13680852 is about 239.1687212785.

The spelling of 13680852 in words is "thirteen million, six hundred eighty thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 199 204 337 398 597 674 796 1011 1194 1348 2022 2388 3383 4044 5729 6766 10149 11458 13532 17187 20298 22916 34374 40596 67063 68748 134126 201189 268252 402378 804756 1140071 2280142 3420213 4560284 6840426 13680852