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13319264 = 25797613
BaseRepresentation
bin110010110011…
…110001100000
3221001200121002
4302303301200
511402204024
61153251132
7221132450
oct62636140
927050532
1013319264
117577a62
124563aa8
1329b462a
141aa9d60
1512816ae
hexcb3c60

13319264 has 48 divisors (see below), whose sum is σ = 30326688. Its totient is φ = 5640192.

The previous prime is 13319263. The next prime is 13319281. The reversal of 13319264 is 46291331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13319261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21422 + ... + 22034.

It is an arithmetic number, because the mean of its divisors is an integer number (631806).

Almost surely, 213319264 is an apocalyptic number.

13319264 is a gapful number since it is divisible by the number (14) 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 13319264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15163344).

13319264 is an abundant number, since it is smaller than the sum of its proper divisors (17007424).

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

13319264 is an equidigital number, since it uses as much as digits as its factorization.

13319264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 719 counting only the distinct ones).

The product of its digits is 3888, while the sum is 29.

The square root of 13319264 is about 3649.5566854071. The cubic root of 13319264 is about 237.0427857499.

The spelling of 13319264 in words is "thirteen million, three hundred nineteen thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 97 112 194 224 388 613 679 776 1226 1358 1552 2452 2716 3104 4291 4904 5432 8582 9808 10864 17164 19616 21728 34328 59461 68656 118922 137312 237844 416227 475688 832454 951376 1664908 1902752 3329816 6659632 13319264