Search a number
-
+
540313053 = 3727151769
BaseRepresentation
bin100000001101001…
…000010111011101
31101122200202011120
4200031020113131
52101310004203
6125340441153
716250404500
oct4015102735
91348622146
10540313053
11257aa1215
12130b491b9
1387c2b287
1451a8b137
153267cb53
hex203485dd

540313053 has 24 divisors (see below), whose sum is σ = 849856320. Its totient is φ = 304395840.

The previous prime is 540313049. The next prime is 540313061. The reversal of 540313053 is 350313045.

It is a happy number.

It is not a de Polignac number, because 540313053 - 22 = 540313049 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540313063) 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 23 ways as a sum of consecutive naturals, for example, 15448 + ... + 36321.

It is an arithmetic number, because the mean of its divisors is an integer number (35410680).

Almost surely, 2540313053 is an apocalyptic number.

It is an amenable number.

540313053 is a deficient number, since it is larger than the sum of its proper divisors (309543267).

540313053 is a wasteful number, since it uses less digits than its factorization.

540313053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51857 (or 51850 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 540313053 is about 23244.6349293767. The cubic root of 540313053 is about 814.4826169084.

Adding to 540313053 its reverse (350313045), we get a palindrome (890626098).

The spelling of 540313053 in words is "five hundred forty million, three hundred thirteen thousand, fifty-three".

Divisors: 1 3 7 21 49 71 147 213 497 1491 3479 10437 51769 155307 362383 1087149 2536681 3675599 7610043 11026797 25729193 77187579 180104351 540313053