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13062144 = 21231063
BaseRepresentation
bin110001110101…
…000000000000
3220120121220010
4301311000000
511320442034
61143544520
7216012024
oct61650000
926517803
1013062144
117411867
12445b140
1329245a4
141a40384
1512303e9
hexc75000

13062144 has 52 divisors (see below), whose sum is σ = 34860896. Its totient is φ = 4349952.

The previous prime is 13062107. The next prime is 13062169. The reversal of 13062144 is 44126031.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 13062144.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 11757 + ... + 12819.

Almost surely, 213062144 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 13062144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17430448).

13062144 is an abundant number, since it is smaller than the sum of its proper divisors (21798752).

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

13062144 is an equidigital number, since it uses as much as digits as its factorization.

13062144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 13062144 is about 3614.1588232948. The cubic root of 13062144 is about 235.5075434496.

Adding to 13062144 its reverse (44126031), we get a palindrome (57188175).

The spelling of 13062144 in words is "thirteen million, sixty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1063 1536 2048 2126 3072 3189 4096 4252 6144 6378 8504 12288 12756 17008 25512 34016 51024 68032 102048 136064 204096 272128 408192 544256 816384 1088512 1632768 2177024 3265536 4354048 6531072 13062144