Search a number
-
+
13461032 = 2313711823
BaseRepresentation
bin110011010110…
…011000101000
3221022220001202
4303112120220
511421223112
61200303332
7222262664
oct63263050
927286052
1013461032
117664522
124611b48
132a34010
141b058a4
1512ad6c2
hexcd6628

13461032 has 32 divisors (see below), whose sum is σ = 27578880. Its totient is φ = 6121920.

The previous prime is 13461031. The next prime is 13461061. The reversal of 13461032 is 23016431.

It is a junction number, because it is equal to n+sod(n) for n = 13460995 and 13461013.

It is not an unprimeable number, because it can be changed into a prime (13461031) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6473 + ... + 8295.

It is an arithmetic number, because the mean of its divisors is an integer number (861840).

Almost surely, 213461032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13461032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13789440).

13461032 is an abundant number, since it is smaller than the sum of its proper divisors (14117848).

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

13461032 is a wasteful number, since it uses less digits than its factorization.

13461032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 13461032 is about 3668.9279088039. The cubic root of 13461032 is about 237.8808338776.

Adding to 13461032 its reverse (23016431), we get a palindrome (36477463).

The spelling of 13461032 in words is "thirteen million, four hundred sixty-one thousand, thirty-two".

Divisors: 1 2 4 8 13 26 52 71 104 142 284 568 923 1823 1846 3646 3692 7292 7384 14584 23699 47398 94796 129433 189592 258866 517732 1035464 1682629 3365258 6730516 13461032