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13010680 = 2353759149
BaseRepresentation
bin110001101000…
…011011111000
3220111000022001
4301220123320
511312320210
61142510344
7215406004
oct61503370
926430261
1013010680
117387131
1244353b4
132907037
141a29704
15122003a
hexc686f8

13010680 has 64 divisors (see below), whose sum is σ = 30780000. Its totient is φ = 4944384.

The previous prime is 13010659. The next prime is 13010689. The reversal of 13010680 is 8601031.

13010680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13010689) 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, 87246 + ... + 87394.

Almost surely, 213010680 is an apocalyptic number.

13010680 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 13010680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15390000).

13010680 is an abundant number, since it is smaller than the sum of its proper divisors (17769320).

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

13010680 is a wasteful number, since it uses less digits than its factorization.

13010680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 13010680 is about 3607.0320209280. The cubic root of 13010680 is about 235.1978415431.

The spelling of 13010680 in words is "thirteen million, ten thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 37 40 59 74 118 148 149 185 236 295 296 298 370 472 590 596 740 745 1180 1192 1480 1490 2183 2360 2980 4366 5513 5960 8732 8791 10915 11026 17464 17582 21830 22052 27565 35164 43660 43955 44104 55130 70328 87320 87910 110260 175820 220520 325267 351640 650534 1301068 1626335 2602136 3252670 6505340 13010680