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13285720 = 2357232063
BaseRepresentation
bin110010101011…
…100101011000
3220222222120201
4302223211120
511400120340
61152431544
7220632610
oct62534530
926888521
1013285720
117554838
1245485b4
1329a2296
141a9ba40
15127679a
hexcab958

13285720 has 64 divisors (see below), whose sum is σ = 35665920. Its totient is φ = 4354944.

The previous prime is 13285717. The next prime is 13285757. The reversal of 13285720 is 2758231.

13285720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 5409 + ... + 7471.

It is an arithmetic number, because the mean of its divisors is an integer number (557280).

Almost surely, 213285720 is an apocalyptic number.

13285720 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 13285720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17832960).

13285720 is an abundant number, since it is smaller than the sum of its proper divisors (22380200).

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

13285720 is a wasteful number, since it uses less digits than its factorization.

13285720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 13285720 is about 3644.9581616255. The cubic root of 13285720 is about 236.8436244044.

The spelling of 13285720 in words is "thirteen million, two hundred eighty-five thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1610 2063 3220 4126 6440 8252 10315 14441 16504 20630 28882 41260 47449 57764 72205 82520 94898 115528 144410 189796 237245 288820 332143 379592 474490 577640 664286 948980 1328572 1660715 1897960 2657144 3321430 6642860 13285720