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13220768 = 251123271
BaseRepresentation
bin110010011011…
…101110100000
3220212200111002
4302123232200
511341031033
61151211132
7220242341
oct62335640
926780432
1013220768
11750aa60
124516aa8
13297b852
141a820c8
1512623e8
hexc9bba0

13220768 has 72 divisors (see below), whose sum is σ = 30100896. Its totient is φ = 5667200.

The previous prime is 13220749. The next prime is 13220773. The reversal of 13220768 is 86702231.

It is a happy number.

13220768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13220768.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 186173 + ... + 186243.

It is an arithmetic number, because the mean of its divisors is an integer number (418068).

Almost surely, 213220768 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 13220768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15050448).

13220768 is an abundant number, since it is smaller than the sum of its proper divisors (16880128).

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

13220768 is a wasteful number, since it uses less digits than its factorization.

13220768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 13220768 is about 3636.0374035480. The cubic root of 13220768 is about 236.4570287563.

Adding to 13220768 its reverse (86702231), we get a palindrome (99922999).

The spelling of 13220768 in words is "thirteen million, two hundred twenty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 71 88 92 142 176 184 253 284 352 368 506 529 568 736 781 1012 1058 1136 1562 1633 2024 2116 2272 3124 3266 4048 4232 5819 6248 6532 8096 8464 11638 12496 13064 16928 17963 23276 24992 26128 35926 37559 46552 52256 71852 75118 93104 143704 150236 186208 287408 300472 413149 574816 600944 826298 1201888 1652596 3305192 6610384 13220768