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13102960 = 2451343293
BaseRepresentation
bin110001111110…
…111101110000
3220122200212211
4301332331300
511323243320
61144501504
7216242023
oct61767560
926580784
1013102960
11743a4a2
12447a894
13293a040
141a511ba
15123c55a
hexc7ef70

13102960 has 80 divisors (see below), whose sum is σ = 33685344. Its totient is φ = 4709376.

The previous prime is 13102949. The next prime is 13102967. The reversal of 13102960 is 6920131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13102967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44574 + ... + 44866.

Almost surely, 213102960 is an apocalyptic number.

13102960 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 13102960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16842672).

13102960 is an abundant number, since it is smaller than the sum of its proper divisors (20582384).

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

13102960 is a wasteful number, since it uses less digits than its factorization.

13102960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 13102960 is about 3619.8010995081. The cubic root of 13102960 is about 235.7525895162.

The spelling of 13102960 in words is "thirteen million, one hundred two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 43 52 65 80 86 104 130 172 208 215 260 293 344 430 520 559 586 688 860 1040 1118 1172 1465 1720 2236 2344 2795 2930 3440 3809 4472 4688 5590 5860 7618 8944 11180 11720 12599 15236 19045 22360 23440 25198 30472 38090 44720 50396 60944 62995 76180 100792 125990 152360 163787 201584 251980 304720 327574 503960 655148 818935 1007920 1310296 1637870 2620592 3275740 6551480 13102960