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13260672 = 27341279
BaseRepresentation
bin110010100101…
…011110000000
3220221201020000
4302211132000
511343320142
61152120000
7220466565
oct62453600
926851200
1013260672
117537a37
124536000
132993a69
141a9286c
15126e14c
hexca5780

13260672 has 80 divisors (see below), whose sum is σ = 39494400. Its totient is φ = 4416768.

The previous prime is 13260649. The next prime is 13260677. The reversal of 13260672 is 27606231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13260677) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9729 + ... + 11007.

It is an arithmetic number, because the mean of its divisors is an integer number (493680).

Almost surely, 213260672 is an apocalyptic number.

13260672 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 13260672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19747200).

13260672 is an abundant number, since it is smaller than the sum of its proper divisors (26233728).

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

13260672 is an equidigital number, since it uses as much as digits as its factorization.

13260672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 13260672 is about 3641.5205615237. The cubic root of 13260672 is about 236.6946877708.

The spelling of 13260672 in words is "thirteen million, two hundred sixty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1279 1296 1728 2558 2592 3456 3837 5116 5184 7674 10232 10368 11511 15348 20464 23022 30696 34533 40928 46044 61392 69066 81856 92088 103599 122784 138132 163712 184176 207198 245568 276264 368352 414396 491136 552528 736704 828792 1105056 1473408 1657584 2210112 3315168 4420224 6630336 13260672