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540611604 = 2233133112421
BaseRepresentation
bin100000001110010…
…001010000010100
31101200020220201000
4200032101100110
52101344032404
6125351103300
716253060061
oct4016212024
91350226630
10540611604
11258185555
12131071b30
1388004130
1451b27c68
15326db339
hex20391414

540611604 has 96 divisors (see below), whose sum is σ = 1558215680. Its totient is φ = 160963200.

The previous prime is 540611597. The next prime is 540611627. The reversal of 540611604 is 406116045.

540611604 is a `hidden beast` number, since 5 + 40 + 6 + 11 + 604 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37314 + ... + 49734.

Almost surely, 2540611604 is an apocalyptic number.

540611604 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540611604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779107840).

540611604 is an abundant number, since it is smaller than the sum of its proper divisors (1017604076).

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

540611604 is a wasteful number, since it uses less digits than its factorization.

540611604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12478 (or 12470 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 540611604 is about 23251.0559760197. The cubic root of 540611604 is about 814.6326039238.

Adding to 540611604 its reverse (406116045), we get a palindrome (946727649).

The spelling of 540611604 in words is "five hundred forty million, six hundred eleven thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 39 52 54 62 78 93 108 117 124 156 186 234 279 351 372 403 468 558 702 806 837 1116 1209 1404 1612 1674 2418 3348 3627 4836 7254 10881 12421 14508 21762 24842 37263 43524 49684 74526 111789 149052 161473 223578 322946 335367 385051 447156 484419 645892 670734 770102 968838 1155153 1341468 1453257 1540204 1937676 2310306 2906514 3465459 4359771 4620612 5005663 5813028 6930918 8719542 10011326 10396377 13861836 15016989 17439084 20022652 20792754 30033978 41585508 45050967 60067956 90101934 135152901 180203868 270305802 540611604