Search a number
-
+
13716828 = 2232438861
BaseRepresentation
bin110100010100…
…110101011100
3221210212221200
4310110311130
512002414303
61205555500
7224406516
oct64246534
927725850
1013716828
117819724
124715b90
132ac3588
141b70bb6
15130e3a3
hexd14d5c

13716828 has 36 divisors (see below), whose sum is σ = 35483448. Its totient is φ = 4465440.

The previous prime is 13716827. The next prime is 13716839. The reversal of 13716828 is 82861731.

13716828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13716792 and 13716801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13716821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2883 + ... + 5978.

Almost surely, 213716828 is an apocalyptic number.

13716828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13716828 is an abundant number, since it is smaller than the sum of its proper divisors (21766620).

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

13716828 is a wasteful number, since it uses less digits than its factorization.

13716828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8914 (or 8909 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 13716828 is about 3703.6236309863. The cubic root of 13716828 is about 239.3781819845.

The spelling of 13716828 in words is "thirteen million, seven hundred sixteen thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 8861 17722 26583 35444 53166 79749 106332 159498 318996 381023 762046 1143069 1524092 2286138 3429207 4572276 6858414 13716828