Search a number
-
+
1803015126 = 234112343991
BaseRepresentation
bin110101101110111…
…1101001111010110
311122122200122210000
41223131331033112
512143032441001
6454524512130
762452242603
oct15335751726
94578618700
101803015126
11845833a50
124239ab646
13229707573
1413165d6aa
15a8451a86
hex6b77d3d6

1803015126 has 80 divisors (see below), whose sum is σ = 4599099648. Its totient is φ = 522601200.

The previous prime is 1803015113. The next prime is 1803015131. The reversal of 1803015126 is 6215103081.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1803015126.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18991 + ... + 62981.

Almost surely, 21803015126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1803015126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299549824).

1803015126 is an abundant number, since it is smaller than the sum of its proper divisors (2796084522).

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

1803015126 is a wasteful number, since it uses less digits than its factorization.

1803015126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44039 (or 44030 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1803015126 is about 42461.9256040043. The cubic root of 1803015126 is about 1217.1192278336.

The spelling of 1803015126 in words is "one billion, eight hundred three million, fifteen thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 81 99 138 162 198 207 253 297 414 506 594 621 759 891 1242 1518 1782 1863 2277 3726 4554 6831 13662 20493 40986 43991 87982 131973 263946 395919 483901 791838 967802 1011793 1187757 1451703 2023586 2375514 2903406 3035379 3563271 4355109 6070758 7126542 8710218 9106137 11129723 13065327 18212274 22259446 26130654 27318411 33389169 39195981 54636822 66778338 78391962 81955233 100167507 163910466 200335014 300502521 601005042 901507563 1803015126