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12833260 = 2251125303
BaseRepresentation
bin110000111101…
…000111101100
3220010222220221
4300331013230
511241131020
61135021124
7214036516
oct60750754
926128827
1012833260
117275900
12436a7a4
13287435b
1419c0bb6
1511d76aa
hexc3d1ec

12833260 has 36 divisors (see below), whose sum is σ = 29628144. Its totient is φ = 4665760.

The previous prime is 12833251. The next prime is 12833263. The reversal of 12833260 is 6233821.

12833260 = T427 + T428 + ... + T536.

It is not an unprimeable number, because it can be changed into a prime (12833263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232 + ... + 5071.

It is an arithmetic number, because the mean of its divisors is an integer number (823004).

Almost surely, 212833260 is an apocalyptic number.

12833260 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 12833260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14814072).

12833260 is an abundant number, since it is smaller than the sum of its proper divisors (16794884).

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

12833260 is a wasteful number, since it uses less digits than its factorization.

12833260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5334 (or 5321 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 12833260 is about 3582.3539746932. The cubic root of 12833260 is about 234.1238538825.

The spelling of 12833260 in words is "twelve million, eight hundred thirty-three thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 5303 10606 21212 26515 53030 58333 106060 116666 233332 291665 583330 641663 1166660 1283326 2566652 3208315 6416630 12833260