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540466506 = 2354092719
BaseRepresentation
bin100000001101101…
…101110101001010
31101122222112200000
4200031231311022
52101324412011
6125344023430
716251614046
oct4015556512
91348875600
10540466506
11258096538
12131001b76
1387c83088
1451acb026
15326ad356
hex2036dd4a

540466506 has 48 divisors (see below), whose sum is σ = 1217798400. Its totient is φ = 179648928.

The previous prime is 540466501. The next prime is 540466513. The reversal of 540466506 is 605664045.

It is a happy number.

540466506 is a `hidden beast` number, since 540 + 4 + 66 + 50 + 6 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (540466501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197415 + ... + 200133.

It is an arithmetic number, because the mean of its divisors is an integer number (25370800).

Almost surely, 2540466506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540466506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608899200).

540466506 is an abundant number, since it is smaller than the sum of its proper divisors (677331894).

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

540466506 is a wasteful number, since it uses less digits than its factorization.

540466506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3145 (or 3133 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 540466506 is about 23247.9355212458. The cubic root of 540466506 is about 814.5597160210.

The spelling of 540466506 in words is "five hundred forty million, four hundred sixty-six thousand, five hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 409 486 818 1227 2454 2719 3681 5438 7362 8157 11043 16314 22086 24471 33129 48942 66258 73413 99387 146826 198774 220239 440478 660717 1112071 1321434 2224142 3336213 6672426 10008639 20017278 30025917 60051834 90077751 180155502 270233253 540466506