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13688892 = 2233719953
BaseRepresentation
bin110100001110…
…000000111100
3221202110122000
4310032000330
512001021032
61205222300
7224232210
oct64160074
927673560
1013688892
1177aa738
124701990
132ab3949
141b64940
151305e7c
hexd0e03c

13688892 has 96 divisors (see below), whose sum is σ = 42739200. Its totient is φ = 3701376.

The previous prime is 13688881. The next prime is 13688897. The reversal of 13688892 is 29888631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13688897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13888 + ... + 14840.

It is an arithmetic number, because the mean of its divisors is an integer number (445200).

Almost surely, 213688892 is an apocalyptic number.

13688892 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 13688892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21369600).

13688892 is an abundant number, since it is smaller than the sum of its proper divisors (29050308).

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

13688892 is a wasteful number, since it uses less digits than its factorization.

13688892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 984 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 13688892 is about 3699.8502672406. The cubic root of 13688892 is about 239.2155638766.

The spelling of 13688892 in words is "thirteen million, six hundred eighty-eight thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 84 108 114 126 133 171 189 228 252 266 342 378 399 513 532 684 756 798 953 1026 1197 1596 1906 2052 2394 2859 3591 3812 4788 5718 6671 7182 8577 11436 13342 14364 17154 18107 20013 25731 26684 34308 36214 40026 51462 54321 60039 72428 80052 102924 108642 120078 126749 162963 180117 217284 240156 253498 325926 360234 380247 488889 506996 651852 720468 760494 977778 1140741 1520988 1955556 2281482 3422223 4562964 6844446 13688892