Search a number
-
+
2400113789 is a prime number
BaseRepresentation
bin1000111100001110…
…1101010001111101
320012021020102011022
42033003231101331
514403412120124
61034054433525
7113322426203
oct21703552175
96167212138
102400113789
111021890017
1256b9628a5
132c3328698
1418aa8d073
15e0a99c5e
hex8f0ed47d

2400113789 has 2 divisors, whose sum is σ = 2400113790. Its totient is φ = 2400113788.

The previous prime is 2400113761. The next prime is 2400113791. The reversal of 2400113789 is 9873110042.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2290388164 + 109725625 = 47858^2 + 10475^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2400113789 is a prime.

Together with 2400113791, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2400113759) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1200056894 + 1200056895.

It is an arithmetic number, because the mean of its divisors is an integer number (1200056895).

Almost surely, 22400113789 is an apocalyptic number.

It is an amenable number.

2400113789 is a deficient number, since it is larger than the sum of its proper divisors (1).

2400113789 is an equidigital number, since it uses as much as digits as its factorization.

2400113789 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 2400113789 is about 48990.9561960164. The cubic root of 2400113789 is about 1338.8870593038.

The spelling of 2400113789 in words is "two billion, four hundred million, one hundred thirteen thousand, seven hundred eighty-nine".