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13163328 = 263222853
BaseRepresentation
bin110010001101…
…101101000000
3220202202200200
4302031231000
511332211303
61150045200
7216613023
oct62155500
926682620
1013163328
117480892
1244a9800
13295b669
141a691ba
1512503a3
hexc8db40

13163328 has 42 divisors (see below), whose sum is σ = 37731954. Its totient is φ = 4387584.

The previous prime is 13163323. The next prime is 13163347. The reversal of 13163328 is 82336131.

It is a happy number.

13163328 is a `hidden beast` number, since 1 + 3 + 1 + 633 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9290304 + 3873024 = 3048^2 + 1968^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13163323) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10851 + ... + 12002.

Almost surely, 213163328 is an apocalyptic number.

13163328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13163328 is an abundant number, since it is smaller than the sum of its proper divisors (24568626).

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

13163328 is a wasteful number, since it uses less digits than its factorization.

13163328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22871 (or 22858 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 13163328 is about 3628.1300968956. The cubic root of 13163328 is about 236.1140882834.

Adding to 13163328 its reverse (82336131), we get a palindrome (95499459).

The spelling of 13163328 in words is "thirteen million, one hundred sixty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 22853 45706 68559 91412 137118 182824 205677 274236 365648 411354 548472 731296 822708 1096944 1462592 1645416 2193888 3290832 4387776 6581664 13163328