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13022160 = 2435291871
BaseRepresentation
bin110001101011…
…001111010000
3220111121001020
4301223033100
511313202120
61143035440
7215454324
oct61531720
926447036
1013022160
117394818
12443bb80
13290c328
141a2d984
151223640
hexc6b3d0

13022160 has 80 divisors (see below), whose sum is σ = 41783040. Its totient is φ = 3351040.

The previous prime is 13022147. The next prime is 13022161. The reversal of 13022160 is 6122031.

13022160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6025 + ... + 7895.

It is an arithmetic number, because the mean of its divisors is an integer number (522288).

Almost surely, 213022160 is an apocalyptic number.

13022160 is a gapful number since it is divisible by the number (10) 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 13022160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20891520).

13022160 is an abundant number, since it is smaller than the sum of its proper divisors (28760880).

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

13022160 is a wasteful number, since it uses less digits than its factorization.

13022160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 13022160 is about 3608.6230060786. The cubic root of 13022160 is about 235.2669969722.

Adding to 13022160 its reverse (6122031), we get a palindrome (19144191).

The spelling of 13022160 in words is "thirteen million, twenty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 1871 2320 3480 3742 5613 6960 7484 9355 11226 14968 18710 22452 28065 29936 37420 44904 54259 56130 74840 89808 108518 112260 149680 162777 217036 224520 271295 325554 434072 449040 542590 651108 813885 868144 1085180 1302216 1627770 2170360 2604432 3255540 4340720 6511080 13022160