Search a number
-
+
13461444 = 2233124643
BaseRepresentation
bin110011010110…
…011111000100
3221022220122000
4303112133010
511421231234
61200305300
7222264123
oct63263704
927286560
1013461444
117664867
124612230
132a34269
141b05aba
1512ad899
hexcd67c4

13461444 has 24 divisors (see below), whose sum is σ = 34900320. Its totient is φ = 4487112.

The previous prime is 13461431. The next prime is 13461449. The reversal of 13461444 is 44416431.

13461444 is a `hidden beast` number, since 1 + 3 + 4 + 614 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (13461449) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 62214 + ... + 62429.

It is an arithmetic number, because the mean of its divisors is an integer number (1454180).

Almost surely, 213461444 is an apocalyptic number.

It is an amenable number.

13461444 is an abundant number, since it is smaller than the sum of its proper divisors (21438876).

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

13461444 is a wasteful number, since it uses less digits than its factorization.

13461444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124656 (or 124648 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 13461444 is about 3668.9840555663. The cubic root of 13461444 is about 237.8832607818.

Adding to 13461444 its reverse (44416431), we get a palindrome (57877875).

The spelling of 13461444 in words is "thirteen million, four hundred sixty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 124643 249286 373929 498572 747858 1121787 1495716 2243574 3365361 4487148 6730722 13461444