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13083060 = 22352973103
BaseRepresentation
bin110001111010…
…000110110100
3220121200120210
4301322012310
511322124220
61144225420
7216130014
oct61720664
926550523
1013083060
117426551
12446b270
132930c73
141a47c44
1512366e0
hexc7a1b4

13083060 has 96 divisors (see below), whose sum is σ = 38787840. Its totient is φ = 3290112.

The previous prime is 13083053. The next prime is 13083071. The reversal of 13083060 is 6038031.

13083060 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126969 + ... + 127071.

It is an arithmetic number, because the mean of its divisors is an integer number (404040).

Almost surely, 213083060 is an apocalyptic number.

13083060 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 13083060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19393920).

13083060 is an abundant number, since it is smaller than the sum of its proper divisors (25704780).

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

13083060 is a wasteful number, since it uses less digits than its factorization.

13083060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 13083060 is about 3617.0512852322. The cubic root of 13083060 is about 235.6331800194.

The spelling of 13083060 in words is "thirteen million, eighty-three thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 73 87 103 116 145 146 174 206 219 290 292 309 348 365 412 435 438 515 580 618 730 870 876 1030 1095 1236 1460 1545 1740 2060 2117 2190 2987 3090 4234 4380 5974 6180 6351 7519 8468 8961 10585 11948 12702 14935 15038 17922 21170 22557 25404 29870 30076 31755 35844 37595 42340 44805 45114 59740 63510 75190 89610 90228 112785 127020 150380 179220 218051 225570 436102 451140 654153 872204 1090255 1308306 2180510 2616612 3270765 4361020 6541530 13083060