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13301056 = 263741137
BaseRepresentation
bin110010101111…
…010101000000
3221000202121201
4302233111000
511401113211
61153030544
7221025406
oct62572500
927022551
1013301056
11756530a
124555454
1329a9262
141aa3476
15127b0c1
hexcaf540

13301056 has 56 divisors (see below), whose sum is σ = 27971496. Its totient is φ = 6266880.

The previous prime is 13301051. The next prime is 13301129. The reversal of 13301056 is 65010331.

13301056 = T433 + T434 + ... + T543.

It can be written as a sum of positive squares in 4 ways, for example, as 1849600 + 11451456 = 1360^2 + 3384^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13301051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97020 + ... + 97156.

It is an arithmetic number, because the mean of its divisors is an integer number (499491).

Almost surely, 213301056 is an apocalyptic number.

13301056 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 13301056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13985748).

13301056 is an abundant number, since it is smaller than the sum of its proper divisors (14670440).

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

13301056 is a wasteful number, since it uses less digits than its factorization.

13301056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 13301056 is about 3647.0612827316. The cubic root of 13301056 is about 236.9347206373.

Adding to 13301056 its reverse (65010331), we get a palindrome (78311387).

The spelling of 13301056 in words is "thirteen million, three hundred one thousand, fifty-six".

Divisors: 1 2 4 8 16 32 37 41 64 74 82 137 148 164 274 296 328 548 592 656 1096 1184 1312 1517 2192 2368 2624 3034 4384 5069 5617 6068 8768 10138 11234 12136 20276 22468 24272 40552 44936 48544 81104 89872 97088 162208 179744 207829 324416 359488 415658 831316 1662632 3325264 6650528 13301056