Search a number
-
+
5142727000 = 23536184307
BaseRepresentation
bin1001100101000011…
…11100100101011000
3111021101221121012101
410302201330211120
541013014231000
62210150253144
7241304313115
oct46241744530
914241847171
105142727000
1121a9a31a04
12bb63571b4
1363c5b2238
1436b01590c
1520174ae6a
hex13287c958

5142727000 has 64 divisors (see below), whose sum is σ = 12231404640. Its totient is φ = 2023344000.

The previous prime is 5142726997. The next prime is 5142727013. The reversal of 5142727000 is 7272415.

It is a self number, because there is not a number n which added to its sum of digits gives 5142727000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18847 + ... + 103153.

Almost surely, 25142727000 is an apocalyptic number.

5142727000 is a gapful number since it is divisible by the number (50) 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 5142727000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6115702320).

5142727000 is an abundant number, since it is smaller than the sum of its proper divisors (7088677640).

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

5142727000 is a wasteful number, since it uses less digits than its factorization.

5142727000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84389 (or 84375 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 5142727000 is about 71712.8091766039. The cubic root of 5142727000 is about 1726.0941878246.

Adding to 5142727000 its reverse (7272415), we get a palindrome (5149999415).

The spelling of 5142727000 in words is "five billion, one hundred forty-two million, seven hundred twenty-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 125 200 244 250 305 488 500 610 1000 1220 1525 2440 3050 6100 7625 12200 15250 30500 61000 84307 168614 337228 421535 674456 843070 1686140 2107675 3372280 4215350 5142727 8430700 10285454 10538375 16861400 20570908 21076750 25713635 41141816 42153500 51427270 84307000 102854540 128568175 205709080 257136350 514272700 642840875 1028545400 1285681750 2571363500 5142727000