Search a number
-
+
1900096866 = 23441286073
BaseRepresentation
bin111000101000001…
…0010110101100010
311220102100220220000
41301100102311202
512342411044431
6512313400430
765041362003
oct16120226542
94812326800
101900096866
11895611998
12450409116
13243868995
141404d11aa
15b1c2b9e6
hex71412d62

1900096866 has 40 divisors (see below), whose sum is σ = 4361484204. Its totient is φ = 617915520.

The previous prime is 1900096859. The next prime is 1900096879. The reversal of 1900096866 is 6686900091.

It can be written as a sum of positive squares in 2 ways, for example, as 1881043641 + 19053225 = 43371^2 + 4365^2 .

It is a super-2 number, since 2×19000968662 = 7220736200366043912, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 136395 + ... + 149678.

Almost surely, 21900096866 is an apocalyptic number.

1900096866 is an abundant number, since it is smaller than the sum of its proper divisors (2461387338).

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

1900096866 is a wasteful number, since it uses less digits than its factorization.

1900096866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286128 (or 286119 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1900096866 is about 43590.1005504690. The cubic root of 1900096866 is about 1238.5833774442.

The spelling of 1900096866 in words is "one billion, nine hundred million, ninety-six thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 369 738 1107 2214 3321 6642 286073 572146 858219 1716438 2574657 5149314 7723971 11728993 15447942 23171913 23457986 35186979 46343826 70373958 105560937 211121874 316682811 633365622 950048433 1900096866