Search a number
-
+
1240413300 = 2232527401491
BaseRepresentation
bin100100111101111…
…0011010001110100
310012110001112011100
41021323303101310
510020021211200
6323030210100
742511224210
oct11173632164
93173045140
101240413300
115871a9965
122a74b3930
13169ca4189
14baa4d940
1573d6ed00
hex49ef3474

1240413300 has 216 divisors, whose sum is σ = 4463589312. Its totient is φ = 282240000.

The previous prime is 1240413289. The next prime is 1240413301. The reversal of 1240413300 is 33140421.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1240413301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2526055 + ... + 2526545.

Almost surely, 21240413300 is an apocalyptic number.

1240413300 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 1240413300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2231794656).

1240413300 is an abundant number, since it is smaller than the sum of its proper divisors (3223176012).

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

1240413300 is a wasteful number, since it uses less digits than its factorization.

1240413300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1240413300 is about 35219.5017000525. The cubic root of 1240413300 is about 1074.4564188891.

Adding to 1240413300 its reverse (33140421), we get a palindrome (1273553721).

The spelling of 1240413300 in words is "one billion, two hundred forty million, four hundred thirteen thousand, three hundred".