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13294416 = 2431032689
BaseRepresentation
bin110010101101…
…101101010000
3221000102111210
4302231231100
511400410131
61152540120
7221000142
oct62555520
927012453
1013294416
117560323
124551640
1329a6225
141aa0c92
151279146
hexcadb50

13294416 has 40 divisors (see below), whose sum is σ = 34690240. Its totient is φ = 4386816.

The previous prime is 13294409. The next prime is 13294417. The reversal of 13294416 is 61449231.

13294416 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (13294417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3600 + ... + 6288.

It is an arithmetic number, because the mean of its divisors is an integer number (867256).

Almost surely, 213294416 is an apocalyptic number.

13294416 is a gapful number since it is divisible by the number (16) 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 13294416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17345120).

13294416 is an abundant number, since it is smaller than the sum of its proper divisors (21395824).

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

13294416 is a wasteful number, since it uses less digits than its factorization.

13294416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2803 (or 2797 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 13294416 is about 3646.1508471263. The cubic root of 13294416 is about 236.8952874672.

The spelling of 13294416 in words is "thirteen million, two hundred ninety-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 206 309 412 618 824 1236 1648 2472 2689 4944 5378 8067 10756 16134 21512 32268 43024 64536 129072 276967 553934 830901 1107868 1661802 2215736 3323604 4431472 6647208 13294416