Search a number
-
+
540101056 = 26114191831
BaseRepresentation
bin100000001100010…
…100100111000000
31101122021222100211
4200030110213000
52101231213211
6125332123504
716245532435
oct4014244700
91348258324
10540101056
11257966a10
12130a66594
1387b85931
1451a33b8c
1532639e21
hex203149c0

540101056 has 56 divisors (see below), whose sum is σ = 1172626560. Its totient is φ = 244780800.

The previous prime is 540101021. The next prime is 540101057. The reversal of 540101056 is 650101045.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540101057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 294061 + ... + 295891.

It is an arithmetic number, because the mean of its divisors is an integer number (20939760).

Almost surely, 2540101056 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 540101056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586313280).

540101056 is an abundant number, since it is smaller than the sum of its proper divisors (632525504).

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

540101056 is a wasteful number, since it uses less digits than its factorization.

540101056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273 (or 2263 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 540101056 is about 23240.0743544422. The cubic root of 540101056 is about 814.3760796224.

The spelling of 540101056 in words is "five hundred forty million, one hundred one thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 419 704 838 1676 1831 3352 3662 4609 6704 7324 9218 13408 14648 18436 20141 26816 29296 36872 40282 58592 73744 80564 117184 147488 161128 294976 322256 644512 767189 1289024 1534378 3068756 6137512 8439079 12275024 16878158 24550048 33756316 49100096 67512632 135025264 270050528 540101056