Search a number
-
+
1242404064 = 2532111722359
BaseRepresentation
bin100101000001101…
…1001010011100000
310012120210122222100
41022003121103200
510021023412224
6323141010400
742534155166
oct11203312340
93176718870
101242404064
11588339620
122a80b3a00
1316a520345
14bb00b236
1574114ac9
hex4a0d94e0

1242404064 has 432 divisors, whose sum is σ = 4344762240. Its totient is φ = 333189120.

The previous prime is 1242404057. The next prime is 1242404077. The reversal of 1242404064 is 4604042421.

It is a happy number.

1242404064 is a `hidden beast` number, since 12 + 4 + 240 + 406 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21057667 + ... + 21057725.

It is an arithmetic number, because the mean of its divisors is an integer number (10057320).

Almost surely, 21242404064 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 1242404064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172381120).

1242404064 is an abundant number, since it is smaller than the sum of its proper divisors (3102358176).

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

1242404064 is a wasteful number, since it uses less digits than its factorization.

1242404064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 1242404064 is about 35247.7526092090. The cubic root of 1242404064 is about 1075.0309171566.

Adding to 1242404064 its reverse (4604042421), we get a palindrome (5846446485).

The spelling of 1242404064 in words is "one billion, two hundred forty-two million, four hundred four thousand, sixty-four".