Search a number
-
+
13677492 = 22319239251
BaseRepresentation
bin110100001011…
…001110110100
3221201212222210
4310023032310
512000134432
61205053420
7224154033
oct64131664
927655883
1013677492
1177a2114
1246b7270
132aab6ba
141b6071a
1513028cc
hexd0b3b4

13677492 has 48 divisors (see below), whose sum is σ = 33868800. Its totient is φ = 4284000.

The previous prime is 13677491. The next prime is 13677497. The reversal of 13677492 is 29477631.

13677492 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13677492.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13677491) 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, 54367 + ... + 54617.

It is an arithmetic number, because the mean of its divisors is an integer number (705600).

Almost surely, 213677492 is an apocalyptic number.

13677492 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 13677492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934400).

13677492 is an abundant number, since it is smaller than the sum of its proper divisors (20191308).

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

13677492 is a wasteful number, since it uses less digits than its factorization.

13677492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 514 counting only the distinct ones).

The product of its digits is 63504, while the sum is 39.

The square root of 13677492 is about 3698.3093434703. The cubic root of 13677492 is about 239.1491398299.

The spelling of 13677492 in words is "thirteen million, six hundred seventy-seven thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 239 251 478 502 717 753 956 1004 1434 1506 2868 3012 4541 4769 9082 9538 13623 14307 18164 19076 27246 28614 54492 57228 59989 119978 179967 239956 359934 719868 1139791 2279582 3419373 4559164 6838746 13677492