Search a number
-
+
13240074240 = 2153354173
BaseRepresentation
bin11000101010010101…
…11000000000000000
31021011201112110102000
430111022320000000
5204103424333430
610025444424000
7646046526351
oct142512700000
937151473360
1013240074240
115684749818
1226960a8000
13133004a573
148d85bdd28
15527574e60
hex3152b8000

13240074240 has 512 divisors, whose sum is σ = 48883867200. Its totient is φ = 3397386240.

The previous prime is 13240074203. The next prime is 13240074241. The reversal of 13240074240 is 4247004231.

13240074240 is a `hidden beast` number, since 13 + 2 + 400 + 7 + 4 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13240074241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181370844 + ... + 181370916.

Almost surely, 213240074240 is an apocalyptic number.

13240074240 is a gapful number since it is divisible by the number (10) 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 13240074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24441933600).

13240074240 is an abundant number, since it is smaller than the sum of its proper divisors (35643792960).

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

13240074240 is an frugal number, since it uses more digits than its factorization.

13240074240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 13240074240 its reverse (4247004231), we get a palindrome (17487078471).

The spelling of 13240074240 in words is "thirteen billion, two hundred forty million, seventy-four thousand, two hundred forty".