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13412724 = 22313127677
BaseRepresentation
bin110011001010…
…100101110100
3221020102210120
4303022211310
511413201344
61155251540
7222002103
oct63124564
927212716
1013412724
1176311a6
1245a9bb0
132a18030
141ad203a
15129e219
hexcca974

13412724 has 48 divisors (see below), whose sum is σ = 34019328. Its totient is φ = 4088448.

The previous prime is 13412723. The next prime is 13412753. The reversal of 13412724 is 42721431.

It is a happy number.

13412724 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 a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 13412694 and 13412703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13412723) 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, 19474 + ... + 20150.

It is an arithmetic number, because the mean of its divisors is an integer number (708736).

Almost surely, 213412724 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 13412724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17009664).

13412724 is an abundant number, since it is smaller than the sum of its proper divisors (20606604).

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

13412724 is a wasteful number, since it uses less digits than its factorization.

13412724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 822 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 13412724 is about 3662.3385971262. The cubic root of 13412724 is about 237.5959294839.

The spelling of 13412724 in words is "thirteen million, four hundred twelve thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 127 156 254 381 508 677 762 1354 1524 1651 2031 2708 3302 4062 4953 6604 8124 8801 9906 17602 19812 26403 35204 52806 85979 105612 171958 257937 343916 515874 1031748 1117727 2235454 3353181 4470908 6706362 13412724