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13102680 = 2335137797
BaseRepresentation
bin110001111110…
…111001011000
3220122200111110
4301332321120
511323241210
61144500320
7216241143
oct61767130
926580443
1013102680
11743a268
12447a6a0
132939b86
141a5105a
15123c420
hexc7ee58

13102680 has 64 divisors (see below), whose sum is σ = 39644640. Its totient is φ = 3464192.

The previous prime is 13102679. The next prime is 13102711. The reversal of 13102680 is 8620131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16042 + ... + 16838.

Almost surely, 213102680 is an apocalyptic number.

13102680 is a gapful number since it is divisible by the number (10) 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 13102680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19822320).

13102680 is an abundant number, since it is smaller than the sum of its proper divisors (26541960).

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

13102680 is a wasteful number, since it uses less digits than its factorization.

13102680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 13102680 is about 3619.7624231433. The cubic root of 13102680 is about 235.7509102215.

The spelling of 13102680 in words is "thirteen million, one hundred two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 137 274 411 548 685 797 822 1096 1370 1594 1644 2055 2391 2740 3188 3288 3985 4110 4782 5480 6376 7970 8220 9564 11955 15940 16440 19128 23910 31880 47820 95640 109189 218378 327567 436756 545945 655134 873512 1091890 1310268 1637835 2183780 2620536 3275670 4367560 6551340 13102680