Search a number
-
+
2540040459 = 311312482933
BaseRepresentation
bin1001011101100101…
…1111000100001011
320120000112102110120
42113121133010023
520200222243314
61100013514323
7116641662525
oct22731370413
96500472416
102540040459
111093871aa0
125aa7a29a3
1331630b528
141a14b4a15
15eced98a9
hex9765f10b

2540040459 has 16 divisors (see below), whose sum is σ = 3813786624. Its totient is φ = 1489759200.

The previous prime is 2540040439. The next prime is 2540040493. The reversal of 2540040459 is 9540400452.

It is not a de Polignac number, because 2540040459 - 28 = 2540040203 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2540040409) 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 15 ways as a sum of consecutive naturals, for example, 1240444 + ... + 1242489.

It is an arithmetic number, because the mean of its divisors is an integer number (238361664).

Almost surely, 22540040459 is an apocalyptic number.

2540040459 is a deficient number, since it is larger than the sum of its proper divisors (1273746165).

2540040459 is a wasteful number, since it uses less digits than its factorization.

2540040459 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482978.

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 2540040459 is about 50398.8140634281. The cubic root of 2540040459 is about 1364.4162341629.

The spelling of 2540040459 in words is "two billion, five hundred forty million, forty thousand, four hundred fifty-nine".

Divisors: 1 3 11 31 33 93 341 1023 2482933 7448799 27312263 76970923 81936789 230912769 846680153 2540040459