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13133016 = 2334131559
BaseRepresentation
bin110010000110…
…010011011000
3220201020010000
4302012103120
511330224031
61145253000
7216425451
oct62062330
926636100
1013133016
117460036
124494160
13294a920
141a5c128
1512463e6
hexc864d8

13133016 has 80 divisors (see below), whose sum is σ = 39639600. Its totient is φ = 4038336.

The previous prime is 13133011. The next prime is 13133033. The reversal of 13133016 is 61033131.

It is a super-2 number, since 2×131330162 = 344952218512512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 13133016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13133011) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7645 + ... + 9203.

It is an arithmetic number, because the mean of its divisors is an integer number (495495).

Almost surely, 213133016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13133016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19819800).

13133016 is an abundant number, since it is smaller than the sum of its proper divisors (26506584).

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

13133016 is a wasteful number, since it uses less digits than its factorization.

13133016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 13133016 is about 3623.9503307855. The cubic root of 13133016 is about 235.9327108745.

Adding to 13133016 its reverse (61033131), we get a palindrome (74166147).

The spelling of 13133016 in words is "thirteen million, one hundred thirty-three thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 1559 2106 2808 3118 4212 4677 6236 8424 9354 12472 14031 18708 20267 28062 37416 40534 42093 56124 60801 81068 84186 112248 121602 126279 162136 168372 182403 243204 252558 336744 364806 486408 505116 547209 729612 1010232 1094418 1459224 1641627 2188836 3283254 4377672 6566508 13133016