Search a number
-
+
540060556 = 2272171091487
BaseRepresentation
bin100000001100001…
…010101110001100
31101122012220210211
4200030022232030
52101223414211
6125331212204
716245303400
oct4014125614
91348186724
10540060556
11257939542
12130a47064
1387b70379
1451a23100
153262ce21
hex2030ab8c

540060556 has 72 divisors (see below), whose sum is σ = 1175549760. Its totient is φ = 215695872.

The previous prime is 540060551. The next prime is 540060557. The reversal of 540060556 is 655060045.

It is not an unprimeable number, because it can be changed into a prime (540060551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 362445 + ... + 363931.

It is an arithmetic number, because the mean of its divisors is an integer number (16327080).

Almost surely, 2540060556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540060556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587774880).

540060556 is an abundant number, since it is smaller than the sum of its proper divisors (635489204).

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

540060556 is a wasteful number, since it uses less digits than its factorization.

540060556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 540060556 is about 23239.2029983819. The cubic root of 540060556 is about 814.3557235209.

It can be divided in two parts, 5400 and 60556, that added together give a palindrome (65956).

The spelling of 540060556 in words is "five hundred forty million, sixty thousand, five hundred fifty-six".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 109 119 196 218 238 436 476 763 833 1487 1526 1666 1853 2974 3052 3332 3706 5341 5948 7412 10409 10682 12971 20818 21364 25279 25942 41636 50558 51884 72863 90797 101116 145726 162083 176953 181594 291452 324166 353906 363188 648332 707812 1134581 1238671 2269162 2477342 2755411 4538324 4954684 5510822 7942067 11021644 15884134 19287877 31768268 38575754 77151508 135015139 270030278 540060556