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13116220 = 2251361827
BaseRepresentation
bin110010000010…
…001100111100
3220200101001221
4302002030330
511324204340
61145043124
7216325465
oct62021474
926611057
1013116220
117449457
1244864a4
1329430a0
141a55d6c
15124144a
hexc8233c

13116220 has 48 divisors (see below), whose sum is σ = 30185568. Its totient is φ = 4757760.

The previous prime is 13116217. The next prime is 13116239. The reversal of 13116220 is 2261131.

It is a junction number, because it is equal to n+sod(n) for n = 13116194 and 13116203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15447 + ... + 16273.

It is an arithmetic number, because the mean of its divisors is an integer number (628866).

Almost surely, 213116220 is an apocalyptic number.

13116220 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 13116220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15092784).

13116220 is an abundant number, since it is smaller than the sum of its proper divisors (17069348).

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

13116220 is a wasteful number, since it uses less digits than its factorization.

13116220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 13116220 is about 3621.6322287057. The cubic root of 13116220 is about 235.8320887391.

Adding to 13116220 its reverse (2261131), we get a palindrome (15377351).

The spelling of 13116220 in words is "thirteen million, one hundred sixteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 61 65 122 130 244 260 305 610 793 827 1220 1586 1654 3172 3308 3965 4135 7930 8270 10751 15860 16540 21502 43004 50447 53755 100894 107510 201788 215020 252235 504470 655811 1008940 1311622 2623244 3279055 6558110 13116220