Search a number
-
+
5455731140 = 2252910193133
BaseRepresentation
bin1010001010010111…
…11101100111000100
3112002012220212011022
411011023331213010
542133131344030
62301211130312
7252124643456
oct50513754704
915065825138
105455731140
11234a688612
121083143998
1368c3b40a2
1439a8122d6
1521de77de5
hex1452fd9c4

5455731140 has 48 divisors (see below), whose sum is σ = 11969581680. Its totient is φ = 2086156800.

The previous prime is 5455731101. The next prime is 5455731157. The reversal of 5455731140 is 411375545.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 21977344 + 5433753796 = 4688^2 + 73714^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5455731140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12014 + ... + 105146.

It is an arithmetic number, because the mean of its divisors is an integer number (249366285).

Almost surely, 25455731140 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 5455731140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5984790840).

5455731140 is an abundant number, since it is smaller than the sum of its proper divisors (6513850540).

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

5455731140 is a wasteful number, since it uses less digits than its factorization.

5455731140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93272 (or 93270 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 35.

The square root of 5455731140 is about 73862.9212798952. The cubic root of 5455731140 is about 1760.4255104953.

The spelling of 5455731140 in words is "five billion, four hundred fifty-five million, seven hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 101 116 145 202 290 404 505 580 1010 2020 2929 5858 11716 14645 29290 58580 93133 186266 372532 465665 931330 1862660 2700857 5401714 9406433 10803428 13504285 18812866 27008570 37625732 47032165 54017140 94064330 188128660 272786557 545573114 1091146228 1363932785 2727865570 5455731140