Search a number
-
+
13324128 = 253138793
BaseRepresentation
bin110010110100…
…111101100000
3221001221021020
4302310331200
511402333003
61153325440
7221152566
oct62647540
927057236
1013324128
117580684
124566880
1329b68cc
141aaba36
151282d53
hexcb4f60

13324128 has 24 divisors (see below), whose sum is σ = 34976088. Its totient is φ = 4441344.

The previous prime is 13324127. The next prime is 13324133. The reversal of 13324128 is 82142331.

13324128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 13324098 and 13324107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13324127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69301 + ... + 69492.

It is an arithmetic number, because the mean of its divisors is an integer number (1457337).

Almost surely, 213324128 is an apocalyptic number.

It is an amenable number.

13324128 is an abundant number, since it is smaller than the sum of its proper divisors (21651960).

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

13324128 is a wasteful number, since it uses less digits than its factorization.

13324128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138806 (or 138798 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 13324128 is about 3650.2230068860. The cubic root of 13324128 is about 237.0716370885.

Adding to 13324128 its reverse (82142331), we get a palindrome (95466459).

It can be divided in two parts, 1332 and 4128, that added together give a triangular number (5460 = T104).

The spelling of 13324128 in words is "thirteen million, three hundred twenty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 138793 277586 416379 555172 832758 1110344 1665516 2220688 3331032 4441376 6662064 13324128