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13789136 = 241967677
BaseRepresentation
bin110100100110…
…011111010000
3221221120010202
4310212133100
512012223021
61211314332
7225130364
oct64463720
927846122
1013789136
117868a89
12474b9a8
132b1a46a
141b8d2a4
151325a0b
hexd267d0

13789136 has 40 divisors (see below), whose sum is σ = 28584480. Its totient is φ = 6424704.

The previous prime is 13789133. The next prime is 13789151. The reversal of 13789136 is 63198731.

13789136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 13789136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13789133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20030 + ... + 20706.

It is an arithmetic number, because the mean of its divisors is an integer number (714612).

Almost surely, 213789136 is an apocalyptic number.

13789136 is a gapful number since it is divisible by the number (16) 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 13789136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14292240).

13789136 is an abundant number, since it is smaller than the sum of its proper divisors (14795344).

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

13789136 is a wasteful number, since it uses less digits than its factorization.

13789136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 765 counting only the distinct ones).

The product of its digits is 27216, while the sum is 38.

The square root of 13789136 is about 3713.3725910552. The cubic root of 13789136 is about 239.7980708910.

The spelling of 13789136 in words is "thirteen million, seven hundred eighty-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 19 38 67 76 134 152 268 304 536 677 1072 1273 1354 2546 2708 5092 5416 10184 10832 12863 20368 25726 45359 51452 90718 102904 181436 205808 362872 725744 861821 1723642 3447284 6894568 13789136