Search a number
-
+
540465690 = 23541479349
BaseRepresentation
bin100000001101101…
…101101000011010
31101122222111112210
4200031231220122
52101324400230
6125344015550
716251611502
oct4015555032
91348874483
10540465690
11258095966
121310015b6
1387c828ab
1451acaa02
15326aceb0
hex2036da1a

540465690 has 64 divisors (see below), whose sum is σ = 1357171200. Its totient is φ = 137602560.

The previous prime is 540465689. The next prime is 540465691. The reversal of 540465690 is 96564045.

It is an interprime number because it is at equal distance from previous prime (540465689) and next prime (540465691).

It is a super-2 number, since 2×5404656902 = 584206324134352200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (540465691) 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 31 ways as a sum of consecutive naturals, for example, 53136 + ... + 62484.

It is an arithmetic number, because the mean of its divisors is an integer number (21205800).

Almost surely, 2540465690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540465690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678585600).

540465690 is an abundant number, since it is smaller than the sum of its proper divisors (816705510).

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

540465690 is a wasteful number, since it uses less digits than its factorization.

540465690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9447.

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 540465690 is about 23247.9179712937. The cubic root of 540465690 is about 814.5593060782.

The spelling of 540465690 in words is "five hundred forty million, four hundred sixty-five thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 41 47 82 94 123 141 205 235 246 282 410 470 615 705 1230 1410 1927 3854 5781 9349 9635 11562 18698 19270 28047 28905 46745 56094 57810 93490 140235 280470 383309 439403 766618 878806 1149927 1318209 1916545 2197015 2299854 2636418 3833090 4394030 5749635 6591045 11499270 13182090 18015523 36031046 54046569 90077615 108093138 180155230 270232845 540465690