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13053568 = 271173127
BaseRepresentation
bin110001110010…
…111010000000
3220120012010111
4301302322000
511320203233
61143441104
7215645023
oct61627200
926505114
1013053568
117406380
124456194
132920708
141a3b1ba
15122cacd
hexc72e80

13053568 has 64 divisors (see below), whose sum is σ = 28984320. Its totient is φ = 5806080.

The previous prime is 13053527. The next prime is 13053577. The reversal of 13053568 is 86535031.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102721 + ... + 102847.

It is an arithmetic number, because the mean of its divisors is an integer number (452880).

Almost surely, 213053568 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 13053568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14492160).

13053568 is an abundant number, since it is smaller than the sum of its proper divisors (15930752).

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

13053568 is a wasteful number, since it uses less digits than its factorization.

13053568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 13053568 is about 3612.9721836737. The cubic root of 13053568 is about 235.4559910431.

Adding to 13053568 its reverse (86535031), we get a palindrome (99588599).

The spelling of 13053568 in words is "thirteen million, fifty-three thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 73 88 127 128 146 176 254 292 352 508 584 704 803 1016 1168 1397 1408 1606 2032 2336 2794 3212 4064 4672 5588 6424 8128 9271 9344 11176 12848 16256 18542 22352 25696 37084 44704 51392 74168 89408 101981 102784 148336 178816 203962 296672 407924 593344 815848 1186688 1631696 3263392 6526784 13053568