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12852210 = 235731249
BaseRepresentation
bin110001000001…
…101111110010
3220011221220210
4301001233302
511242232320
61135244550
7214146000
oct61015762
926157823
1012852210
117289068
124379756
13287cb77
1419c7a70
1511dd0e0
hexc41bf2

12852210 has 64 divisors (see below), whose sum is σ = 36000000. Its totient is φ = 2935296.

The previous prime is 12852179. The next prime is 12852233. The reversal of 12852210 is 1225821.

It is a happy number.

12852210 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 (21).

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, 9666 + ... + 10914.

It is an arithmetic number, because the mean of its divisors is an integer number (562500).

Almost surely, 212852210 is an apocalyptic number.

12852210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12852210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18000000).

12852210 is an abundant number, since it is smaller than the sum of its proper divisors (23147790).

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

12852210 is a wasteful number, since it uses less digits than its factorization.

12852210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 12852210 is about 3584.9979079492. The cubic root of 12852210 is about 234.2390354512.

The spelling of 12852210 in words is "twelve million, eight hundred fifty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 343 490 686 735 1029 1249 1470 1715 2058 2498 3430 3747 5145 6245 7494 8743 10290 12490 17486 18735 26229 37470 43715 52458 61201 87430 122402 131145 183603 262290 306005 367206 428407 612010 856814 918015 1285221 1836030 2142035 2570442 4284070 6426105 12852210