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13126160 = 245473491
BaseRepresentation
bin110010000100…
…101000010000
3220200212201002
4302010220100
511330014120
61145201132
7216366455
oct62045020
926625632
1013126160
117455973
1244901a8
132947778
141a5982c
151244375
hexc84a10

13126160 has 40 divisors (see below), whose sum is σ = 31176576. Its totient is φ = 5137280.

The previous prime is 13126147. The next prime is 13126177. The reversal of 13126160 is 6162131.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 7 ways as a sum of consecutive naturals, for example, 2015 + ... + 5505.

Almost surely, 213126160 is an apocalyptic number.

13126160 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 13126160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15588288).

13126160 is an abundant number, since it is smaller than the sum of its proper divisors (18050416).

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

13126160 is a wasteful number, since it uses less digits than its factorization.

13126160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3551 (or 3545 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 13126160 is about 3623.0042782199. The cubic root of 13126160 is about 235.8916480492.

Adding to 13126160 its reverse (6162131), we get a palindrome (19288291).

The spelling of 13126160 in words is "thirteen million, one hundred twenty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 3491 3760 6982 13964 17455 27928 34910 55856 69820 139640 164077 279280 328154 656308 820385 1312616 1640770 2625232 3281540 6563080 13126160