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13113198 = 2337113307
BaseRepresentation
bin110010000001…
…011101101110
3220200012221000
4302001131232
511324110243
61145021130
7216313620
oct62013556
926605830
1013113198
11744715a
1244847a6
1329418b7
141a54c10
1512405d3
hexc8176e

13113198 has 64 divisors (see below), whose sum is σ = 33707520. Its totient is φ = 3701376.

The previous prime is 13113181. The next prime is 13113223. The reversal of 13113198 is 89131131.

It is a happy number.

13113198 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42561 + ... + 42867.

It is an arithmetic number, because the mean of its divisors is an integer number (526680).

Almost surely, 213113198 is an apocalyptic number.

13113198 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13113198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16853760).

13113198 is an abundant number, since it is smaller than the sum of its proper divisors (20594322).

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

13113198 is a wasteful number, since it uses less digits than its factorization.

13113198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 432 counting only the distinct ones).

The product of its digits is 648, while the sum is 27.

The square root of 13113198 is about 3621.2149894752. The cubic root of 13113198 is about 235.8139753062.

The spelling of 13113198 in words is "thirteen million, one hundred thirteen thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 113 126 189 226 307 339 378 614 678 791 921 1017 1582 1842 2034 2149 2373 2763 3051 4298 4746 5526 6102 6447 7119 8289 12894 14238 16578 19341 21357 34691 38682 42714 58023 69382 104073 116046 208146 242837 312219 485674 624438 728511 936657 1457022 1873314 2185533 4371066 6556599 13113198