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13282812 = 2233294241
BaseRepresentation
bin110010101010…
…110111111100
3220222211121000
4302222313330
511400022222
61152410300
7220621254
oct62526774
926884530
1013282812
117552634
124546990
1329a0b6a
141a9a964
1512759ac
hexcaadfc

13282812 has 48 divisors (see below), whose sum is σ = 35632800. Its totient is φ = 4273920.

The previous prime is 13282769. The next prime is 13282853. The reversal of 13282812 is 21828231.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1012 + ... + 5252.

It is an arithmetic number, because the mean of its divisors is an integer number (742350).

Almost surely, 213282812 is an apocalyptic number.

13282812 is a gapful number since it is divisible by the number (12) 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 13282812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17816400).

13282812 is an abundant number, since it is smaller than the sum of its proper divisors (22349988).

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

13282812 is a wasteful number, since it uses less digits than its factorization.

13282812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4283 (or 4275 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 13282812 is about 3644.5592326096. The cubic root of 13282812 is about 236.8263429042.

It can be divided in two parts, 1328281 and 2, that multiplied together give a palindrome (2656562).

The spelling of 13282812 in words is "thirteen million, two hundred eighty-two thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1044 1566 3132 4241 8482 12723 16964 25446 38169 50892 76338 114507 122989 152676 229014 245978 368967 458028 491956 737934 1106901 1475868 2213802 3320703 4427604 6641406 13282812