Search a number
-
+
13616772 = 22313191457
BaseRepresentation
bin110011111100…
…011010000100
3221121210200220
4303330122010
511441214042
61203504340
7223512021
oct63743204
927553626
1013616772
117760534
1246880b0
132a89b80
141b46548
1512de8ec
hexcfc684

13616772 has 48 divisors (see below), whose sum is σ = 34470912. Its totient is φ = 4158720.

The previous prime is 13616761. The next prime is 13616773. The reversal of 13616772 is 27761631.

13616772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13616773) 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, 29568 + ... + 30024.

It is an arithmetic number, because the mean of its divisors is an integer number (718144).

Almost surely, 213616772 is an apocalyptic number.

13616772 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 13616772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17235456).

13616772 is an abundant number, since it is smaller than the sum of its proper divisors (20854140).

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

13616772 is a wasteful number, since it uses less digits than its factorization.

13616772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 666 counting only the distinct ones).

The product of its digits is 10584, while the sum is 33.

The square root of 13616772 is about 3690.0910557871. The cubic root of 13616772 is about 238.7947211165.

The spelling of 13616772 in words is "thirteen million, six hundred sixteen thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 191 382 457 573 764 914 1146 1371 1828 2292 2483 2742 4966 5484 5941 7449 9932 11882 14898 17823 23764 29796 35646 71292 87287 174574 261861 349148 523722 1047444 1134731 2269462 3404193 4538924 6808386 13616772