Search a number
-
+
1242446040 = 233451171491
BaseRepresentation
bin100101000001110…
…0011100011011000
310012120212210120000
41022003203203120
510021031233130
6323141533000
742534421443
oct11203434330
93176783500
101242446040
11588368110
122a8114160
1316a536494
14bb01c65a
1574122260
hex4a0e38d8

1242446040 has 320 divisors, whose sum is σ = 4629208320. Its totient is φ = 296352000.

The previous prime is 1242446027. The next prime is 1242446047. The reversal of 1242446040 is 406442421.

It is a happy number.

1242446040 is a `hidden beast` number, since 12 + 4 + 2 + 44 + 604 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1242445995 and 1242446013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242446047) 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 79 ways as a sum of consecutive naturals, for example, 2530195 + ... + 2530685.

It is an arithmetic number, because the mean of its divisors is an integer number (14466276).

Almost surely, 21242446040 is an apocalyptic number.

1242446040 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 1242446040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314604160).

1242446040 is an abundant number, since it is smaller than the sum of its proper divisors (3386762280).

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

1242446040 is a wasteful number, since it uses less digits than its factorization.

1242446040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 583 counting only the distinct ones).

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

The square root of 1242446040 is about 35248.3480463979. The cubic root of 1242446040 is about 1075.0430240578.

Adding to 1242446040 its reverse (406442421), we get a palindrome (1648888461).

The spelling of 1242446040 in words is "one billion, two hundred forty-two million, four hundred forty-six thousand, forty".