Search a number
-
+
14133132 = 223213223101
BaseRepresentation
bin110101111010…
…011110001100
3222121001000100
4311322132030
512104230012
61222531100
7231062316
oct65723614
928531010
1014133132
117a83482
124896a90
132c0ac00
141c3c7b6
1513928dc
hexd7a78c

14133132 has 108 divisors (see below), whose sum is σ = 40766544. Its totient is φ = 4118400.

The previous prime is 14133113. The next prime is 14133187. The reversal of 14133132 is 23133141.

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.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 139882 + ... + 139982.

It is an arithmetic number, because the mean of its divisors is an integer number (377468).

Almost surely, 214133132 is an apocalyptic number.

14133132 is a gapful number since it is divisible by the number (12) 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 14133132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20383272).

14133132 is an abundant number, since it is smaller than the sum of its proper divisors (26633412).

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

14133132 is a wasteful number, since it uses less digits than its factorization.

14133132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 142 counting only the distinct ones).

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

The square root of 14133132 is about 3759.4058041132. The cubic root of 14133132 is about 241.7757866840.

Adding to 14133132 its reverse (23133141), we get a palindrome (37266273).

Subtracting 14133132 from its reverse (23133141), we obtain a palindrome (9000009).

The spelling of 14133132 in words is "fourteen million, one hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 101 117 138 156 169 202 207 234 276 299 303 338 404 414 468 507 598 606 676 828 897 909 1014 1196 1212 1313 1521 1794 1818 2028 2323 2626 2691 3042 3588 3636 3887 3939 4646 5252 5382 6084 6969 7774 7878 9292 10764 11661 11817 13938 15548 15756 17069 20907 23322 23634 27876 30199 34138 34983 41814 46644 47268 51207 60398 68276 69966 83628 90597 102414 120796 139932 153621 181194 204828 271791 307242 362388 392587 543582 614484 785174 1087164 1177761 1570348 2355522 3533283 4711044 7066566 14133132