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13245924 = 22317292239
BaseRepresentation
bin110010100001…
…110111100100
3220220221222210
4302201313210
511342332144
61151523420
7220405566
oct62416744
926827883
1013245924
11752794a
124529570
13298a133
141a8b336
151269ab9
hexca1de4

13245924 has 48 divisors (see below), whose sum is σ = 33868800. Its totient is φ = 4010496.

The previous prime is 13245917. The next prime is 13245931. The reversal of 13245924 is 42954231.

13245924 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13245917) and next prime (13245931).

It is a super-2 number, since 2×132459242 = 350909005227552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13245891 and 13245900.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4797 + ... + 7035.

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

Almost surely, 213245924 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13245924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934400).

13245924 is an abundant number, since it is smaller than the sum of its proper divisors (20622876).

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

13245924 is a wasteful number, since it uses less digits than its factorization.

13245924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292 (or 2290 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 13245924 is about 3639.4950199169. The cubic root of 13245924 is about 236.6069077007.

It can be divided in two parts, 132 and 45924, that added together give a triangular number (46056 = T303).

The spelling of 13245924 in words is "thirteen million, two hundred forty-five thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 29 34 51 58 68 87 102 116 174 204 348 493 986 1479 1972 2239 2958 4478 5916 6717 8956 13434 26868 38063 64931 76126 114189 129862 152252 194793 228378 259724 389586 456756 779172 1103827 2207654 3311481 4415308 6622962 13245924