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13887288 = 233429739
BaseRepresentation
bin110100111110…
…011100111000
3222010112210000
4310332130320
512023343123
61213353000
7226016502
oct64763470
928115700
1013887288
1179257a8
124798760
132b5303c
141bb6d72
151344b43
hexd3e738

13887288 has 80 divisors (see below), whose sum is σ = 40293000. Its totient is φ = 4463424.

The previous prime is 13887281. The next prime is 13887299. The reversal of 13887288 is 88278831.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13887281) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18423 + ... + 19161.

Almost surely, 213887288 is an apocalyptic number.

13887288 is a gapful number since it is divisible by the number (18) 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 13887288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20146500).

13887288 is an abundant number, since it is smaller than the sum of its proper divisors (26405712).

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

13887288 is a wasteful number, since it uses less digits than its factorization.

13887288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 773 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The square root of 13887288 is about 3726.5651745273. The cubic root of 13887288 is about 240.3656925045.

The spelling of 13887288 in words is "thirteen million, eight hundred eighty-seven thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 261 324 348 522 648 696 739 783 1044 1478 1566 2088 2217 2349 2956 3132 4434 4698 5912 6264 6651 8868 9396 13302 17736 18792 19953 21431 26604 39906 42862 53208 59859 64293 79812 85724 119718 128586 159624 171448 192879 239436 257172 385758 478872 514344 578637 771516 1157274 1543032 1735911 2314548 3471822 4629096 6943644 13887288