Search a number
-
+
13361166 = 2337132719
BaseRepresentation
bin110010111110…
…000000001110
3221010211002000
4302332000032
511410024131
61154213130
7221365560
oct62760016
927124060
1013361166
1175a6495
1245841a6
1329ca720
141abb330
15128dce6
hexcbe00e

13361166 has 64 divisors (see below), whose sum is σ = 36556800. Its totient is φ = 3522528.

The previous prime is 13361147. The next prime is 13361209. The reversal of 13361166 is 66116331.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3555 + ... + 6273.

It is an arithmetic number, because the mean of its divisors is an integer number (571200).

Almost surely, 213361166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13361166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18278400).

13361166 is an abundant number, since it is smaller than the sum of its proper divisors (23195634).

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

13361166 is a wasteful number, since it uses less digits than its factorization.

13361166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750 (or 2744 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 13361166 is about 3655.2928747229. The cubic root of 13361166 is about 237.2911020013.

Adding to 13361166 its reverse (66116331), we get a palindrome (79477497).

The spelling of 13361166 in words is "thirteen million, three hundred sixty-one thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 819 1638 2457 2719 4914 5438 8157 16314 19033 24471 35347 38066 48942 57099 70694 73413 106041 114198 146826 171297 212082 247429 318123 342594 494858 513891 636246 742287 954369 1027782 1484574 1908738 2226861 4453722 6680583 13361166