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13269248 = 28173049
BaseRepresentation
bin110010100111…
…100100000000
3220222010222122
4302213210000
511344103443
61152223412
7220533566
oct62474400
926863878
1013269248
117543423
12453ab68
132997935
141a95a36
151271968
hexca7900

13269248 has 36 divisors (see below), whose sum is σ = 28053900. Its totient is φ = 6242304.

The previous prime is 13269247. The next prime is 13269259. The reversal of 13269248 is 84296231.

It can be written as a sum of positive squares in 2 ways, for example, as 5607424 + 7661824 = 2368^2 + 2768^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13269247) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2828 + ... + 5876.

It is an arithmetic number, because the mean of its divisors is an integer number (779275).

Almost surely, 213269248 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 13269248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14026950).

13269248 is an abundant number, since it is smaller than the sum of its proper divisors (14784652).

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

13269248 is an equidigital number, since it uses as much as digits as its factorization.

13269248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3082 (or 3068 counting only the distinct ones).

The product of its digits is 20736, while the sum is 35.

The square root of 13269248 is about 3642.6979012814. The cubic root of 13269248 is about 236.7457021841.

The spelling of 13269248 in words is "thirteen million, two hundred sixty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1088 2176 3049 4352 6098 12196 24392 48784 51833 97568 103666 195136 207332 390272 414664 780544 829328 1658656 3317312 6634624 13269248