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13133056 = 2829261
BaseRepresentation
bin110010000110…
…010100000000
3220201020011111
4302012110000
511330224211
61145253104
7216425536
oct62062400
926636144
1013133056
117460072
124494194
13294a951
141a5c156
151246421
hexc86500

13133056 has 54 divisors (see below), whose sum is σ = 27595022. Its totient is φ = 6236160.

The previous prime is 13133033. The next prime is 13133059. The reversal of 13133056 is 65033131.

13133056 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 3 ways, for example, as 173056 + 12960000 = 416^2 + 3600^2 .

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13133059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 215266 + ... + 215326.

Almost surely, 213133056 is an apocalyptic number.

13133056 is a gapful number since it is divisible by the number (16) 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 13133056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13797511).

13133056 is an abundant number, since it is smaller than the sum of its proper divisors (14461966).

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

13133056 is an frugal number, since it uses more digits than its factorization.

13133056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 22.

The square root of 13133056 is about 3623.9558496207. The cubic root of 13133056 is about 235.9329504057.

Adding to 13133056 its reverse (65033131), we get a palindrome (78166187).

The spelling of 13133056 in words is "thirteen million, one hundred thirty-three thousand, fifty-six".

Divisors: 1 2 4 8 16 29 32 58 61 64 116 122 128 232 244 256 464 488 841 928 976 1682 1769 1856 1952 3364 3538 3712 3904 6728 7076 7424 7808 13456 14152 15616 26912 28304 51301 53824 56608 102602 107648 113216 205204 215296 226432 410408 452864 820816 1641632 3283264 6566528 13133056