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13264056 = 23321337383
BaseRepresentation
bin110010100110…
…010010111000
3220221212212100
4302212102320
511343422211
61152143400
7220512501
oct62462270
926855770
1013264056
11753a533
124537b60
132995470
141a93ba8
151270156
hexca64b8

13264056 has 96 divisors (see below), whose sum is σ = 39836160. Its totient is φ = 3960576.

The previous prime is 13264051. The next prime is 13264061. The reversal of 13264056 is 65046231.

13264056 is a `hidden beast` number, since 13 + 2 + 640 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (13264051) and next prime (13264061).

It is a super-2 number, since 2×132640562 = 351870363142272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13264051) 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 23 ways as a sum of consecutive naturals, for example, 34441 + ... + 34823.

It is an arithmetic number, because the mean of its divisors is an integer number (414960).

Almost surely, 213264056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13264056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19918080).

13264056 is an abundant number, since it is smaller than the sum of its proper divisors (26572104).

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

13264056 is a wasteful number, since it uses less digits than its factorization.

13264056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 13264056 is about 3641.9851729517. The cubic root of 13264056 is about 236.7148201517.

The spelling of 13264056 in words is "thirteen million, two hundred sixty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 37 39 52 72 74 78 104 111 117 148 156 222 234 296 312 333 383 444 468 481 666 766 888 936 962 1149 1332 1443 1532 1924 2298 2664 2886 3064 3447 3848 4329 4596 4979 5772 6894 8658 9192 9958 11544 13788 14171 14937 17316 19916 27576 28342 29874 34632 39832 42513 44811 56684 59748 85026 89622 113368 119496 127539 170052 179244 184223 255078 340104 358488 368446 510156 552669 736892 1020312 1105338 1473784 1658007 2210676 3316014 4421352 6632028 13264056