Search a number
-
+
13032012 = 2237167929
BaseRepresentation
bin110001101101…
…101001001100
3220112002120010
4301231221030
511314011022
61143153220
7215525130
oct61555114
926462503
1013032012
1173a1164
124445810
132913966
141a333c0
15122650c
hexc6da4c

13032012 has 48 divisors (see below), whose sum is σ = 34997760. Its totient is φ = 3697152.

The previous prime is 13031999. The next prime is 13032017. The reversal of 13032012 is 21023031.

It is a happy number.

13032012 is digitally balanced in base 2 and base 4, 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 (12).

It is not an unprimeable number, because it can be changed into a prime (13032017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13564 + ... + 14492.

It is an arithmetic number, because the mean of its divisors is an integer number (729120).

Almost surely, 213032012 is an apocalyptic number.

13032012 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 13032012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17498880).

13032012 is an abundant number, since it is smaller than the sum of its proper divisors (21965748).

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

13032012 is a wasteful number, since it uses less digits than its factorization.

13032012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 13032012 is about 3609.9878116138. The cubic root of 13032012 is about 235.3263129426.

Adding to 13032012 its reverse (21023031), we get a palindrome (34055043).

The spelling of 13032012 in words is "thirteen million, thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 167 334 501 668 929 1002 1169 1858 2004 2338 2787 3507 3716 4676 5574 6503 7014 11148 13006 14028 19509 26012 39018 78036 155143 310286 465429 620572 930858 1086001 1861716 2172002 3258003 4344004 6516006 13032012