Search a number
-
+
13332132 = 223211131257
BaseRepresentation
bin110010110110…
…111010100100
3221002100020200
4302312322210
511403112012
61153430500
7221215122
oct62667244
927070220
1013332132
1175866a0
12456b430
1329ba448
141ab0912
1512853dc
hexcb6ea4

13332132 has 72 divisors (see below), whose sum is σ = 37189152. Its totient is φ = 3993600.

The previous prime is 13332113. The next prime is 13332169. The reversal of 13332132 is 23123331.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51748 + ... + 52004.

It is an arithmetic number, because the mean of its divisors is an integer number (516516).

Almost surely, 213332132 is an apocalyptic number.

13332132 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 13332132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18594576).

13332132 is an abundant number, since it is smaller than the sum of its proper divisors (23857020).

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

13332132 is a wasteful number, since it uses less digits than its factorization.

13332132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 404 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 13332132 is about 3651.3192136542. The cubic root of 13332132 is about 237.1190983946.

Adding to 13332132 its reverse (23123331), we get a palindrome (36455463).

The spelling of 13332132 in words is "thirteen million, three hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 131 132 198 257 262 393 396 514 524 771 786 1028 1179 1441 1542 1572 2313 2358 2827 2882 3084 4323 4626 4716 5654 5764 8481 8646 9252 11308 12969 16962 17292 25443 25938 33667 33924 50886 51876 67334 101001 101772 134668 202002 303003 370337 404004 606006 740674 1111011 1212012 1481348 2222022 3333033 4444044 6666066 13332132