Search a number
-
+
13113324 = 22327173061
BaseRepresentation
bin110010000001…
…011111101100
3220200020002200
4302001133230
511324111244
61145021500
7216314160
oct62013754
926606080
1013113324
117447264
124484890
132941983
141a54ca0
151240669
hexc817ec

13113324 has 72 divisors (see below), whose sum is σ = 40124448. Its totient is φ = 3525120.

The previous prime is 13113319. The next prime is 13113337. The reversal of 13113324 is 42331131.

13113324 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

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

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

13113324 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 13113297 and 13113306.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2754 + ... + 5814.

It is an arithmetic number, because the mean of its divisors is an integer number (557284).

Almost surely, 213113324 is an apocalyptic number.

13113324 is a gapful number since it is divisible by the number (14) 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 13113324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20062224).

13113324 is an abundant number, since it is smaller than the sum of its proper divisors (27011124).

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

13113324 is a wasteful number, since it uses less digits than its factorization.

13113324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3095 (or 3090 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 13113324 is about 3621.2323869092. The cubic root of 13113324 is about 235.8147305877.

Adding to 13113324 its reverse (42331131), we get a palindrome (55444455).

The spelling of 13113324 in words is "thirteen million, one hundred thirteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 3061 4284 6122 9183 12244 18366 21427 27549 36732 42854 52037 55098 64281 85708 104074 110196 128562 156111 192843 208148 257124 312222 364259 385686 468333 624444 728518 771372 936666 1092777 1457036 1873332 2185554 3278331 4371108 6556662 13113324