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13068828 = 2232715113
BaseRepresentation
bin110001110110…
…101000011100
3220120222001200
4301312220130
511321200303
61144035500
7216040353
oct61665034
926528050
1013068828
117416893
124462b90
132927646
141a4299a
1512323a3
hexc76a1c

13068828 has 36 divisors (see below), whose sum is σ = 33506928. Its totient is φ = 4294080.

The previous prime is 13068799. The next prime is 13068833. The reversal of 13068828 is 82886031.

13068828 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

13068828 is a nontrivial binomial coefficient, being equal to C(5113, 2).

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 = 13068792 and 13068801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1 + ... + 5112.

It is an arithmetic number, because the mean of its divisors is an integer number (930748).

Almost surely, 213068828 is an apocalyptic number.

13068828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13068828 is the 5112-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13068828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16753464).

13068828 is an abundant number, since it is smaller than the sum of its proper divisors (20438100).

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

13068828 is a wasteful number, since it uses less digits than its factorization.

13068828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5194 (or 5189 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 13068828 is about 3615.0834015275. The cubic root of 13068828 is about 235.5477069428.

The spelling of 13068828 in words is "thirteen million, sixty-eight thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 2556 5113 10226 15339 20452 30678 46017 61356 92034 184068 363023 726046 1089069 1452092 2178138 3267207 4356276 6534414 13068828