Search a number
-
+
2001890016 = 25327993001
BaseRepresentation
bin111011101010010…
…0110101011100000
312011111220112211200
41313110212223200
513044440440031
6530351241200
7100415533020
oct16724465340
95144815750
102001890016
11938018665
1247a519200
1325b989709
1414dc2ba80
15bab378e6
hex77526ae0

2001890016 has 72 divisors (see below), whose sum is σ = 6506149104. Its totient is φ = 571968000.

The previous prime is 2001890003. The next prime is 2001890021. The reversal of 2001890016 is 6100981002.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 494485 + ... + 498516.

It is an arithmetic number, because the mean of its divisors is an integer number (90363182).

Almost surely, 22001890016 is an apocalyptic number.

It is an amenable number.

2001890016 is an abundant number, since it is smaller than the sum of its proper divisors (4504259088).

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

2001890016 is a wasteful number, since it uses less digits than its factorization.

2001890016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993024 (or 993013 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 2001890016 is about 44742.4855813800. The cubic root of 2001890016 is about 1260.3178034332.

The spelling of 2001890016 in words is "two billion, one million, eight hundred ninety thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 993001 1986002 2979003 3972004 5958006 6951007 7944008 8937009 11916012 13902014 15888016 17874018 20853021 23832024 27804028 31776032 35748036 41706042 47664048 55608056 62559063 71496072 83412084 95328096 111216112 125118126 142992144 166824168 222432224 250236252 285984288 333648336 500472504 667296672 1000945008 2001890016