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13115180 = 2251373691
BaseRepresentation
bin110010000001…
…111100101100
3220200022122102
4302001330230
511324141210
61145034232
7216322451
oct62017454
926608572
1013115180
1174486a1
124485978
132942780
141a55828
151240ea5
hexc81f2c

13115180 has 48 divisors (see below), whose sum is σ = 30110304. Its totient is φ = 4769280.

The previous prime is 13115173. The next prime is 13115197. The reversal of 13115180 is 8151131.

13115180 = T64 + T65 + ... + T428.

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18635 + ... + 19325.

It is an arithmetic number, because the mean of its divisors is an integer number (627298).

Almost surely, 213115180 is an apocalyptic number.

13115180 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 13115180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15055152).

13115180 is an abundant number, since it is smaller than the sum of its proper divisors (16995124).

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

13115180 is a wasteful number, since it uses less digits than its factorization.

13115180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 20.

The square root of 13115180 is about 3621.4886441904. The cubic root of 13115180 is about 235.8258554429.

The spelling of 13115180 in words is "thirteen million, one hundred fifteen thousand, one hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 73 130 146 260 292 365 691 730 949 1382 1460 1898 2764 3455 3796 4745 6910 8983 9490 13820 17966 18980 35932 44915 50443 89830 100886 179660 201772 252215 504430 655759 1008860 1311518 2623036 3278795 6557590 13115180