Search a number
-
+
540114505 = 57214591511
BaseRepresentation
bin100000001100010…
…111111001001001
31101122022122210221
4200030113321021
52101232131010
6125332310041
716245616600
oct4014277111
91348278727
10540114505
11257976027
12130a72321
1387b8baa8
1451a38a37
153263ddda
hex20317e49

540114505 has 24 divisors (see below), whose sum is σ = 754971840. Its totient is φ = 369865440.

The previous prime is 540114479. The next prime is 540114551. The reversal of 540114505 is 505411045.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-540114505 is a prime.

It is a super-2 number, since 2×5401145052 = 583447357022790050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 540114505.

It is an unprimeable number.

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, 356700 + ... + 358210.

It is an arithmetic number, because the mean of its divisors is an integer number (31457160).

Almost surely, 2540114505 is an apocalyptic number.

It is an amenable number.

540114505 is a deficient number, since it is larger than the sum of its proper divisors (214857335).

540114505 is a wasteful number, since it uses less digits than its factorization.

540114505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2989 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 540114505 is about 23240.3637019733. The cubic root of 540114505 is about 814.3828391308.

The spelling of 540114505 in words is "five hundred forty million, one hundred fourteen thousand, five hundred five".

Divisors: 1 5 7 35 49 245 1459 1511 7295 7555 10213 10577 51065 52885 71491 74039 357455 370195 2204549 11022745 15431843 77159215 108022901 540114505