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13680054 = 2322973359
BaseRepresentation
bin110100001011…
…110110110110
3221202000111200
4310023312312
512000230204
61205113330
7224164353
oct64136666
927660450
1013680054
1177a4033
1246b8846
132aac90b
141b6162a
151303539
hexd0bdb6

13680054 has 48 divisors (see below), whose sum is σ = 31168800. Its totient is φ = 4330368.

The previous prime is 13680041. The next prime is 13680061. The reversal of 13680054 is 45008631.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37927 + ... + 38285.

It is an arithmetic number, because the mean of its divisors is an integer number (649350).

Almost surely, 213680054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13680054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15584400).

13680054 is an abundant number, since it is smaller than the sum of its proper divisors (17488746).

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

13680054 is a wasteful number, since it uses less digits than its factorization.

13680054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 466 counting only the distinct ones).

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

The square root of 13680054 is about 3698.6557017381. The cubic root of 13680054 is about 239.1640709748.

Adding to 13680054 its reverse (45008631), we get a palindrome (58688685).

The spelling of 13680054 in words is "thirteen million, six hundred eighty thousand, fifty-four".

Divisors: 1 2 3 6 9 18 29 58 73 87 146 174 219 261 359 438 522 657 718 1077 1314 2117 2154 3231 4234 6351 6462 10411 12702 19053 20822 26207 31233 38106 52414 62466 78621 93699 157242 187398 235863 471726 760003 1520006 2280009 4560018 6840027 13680054