Search a number
-
+
1999388160 = 29325731123
BaseRepresentation
bin111011100101100…
…0011111000000000
312011100012102221100
41313023003320000
513043320410120
6530221454400
7100355343000
oct16713037000
95140172840
101999388160
11936669a10
12479711400
1325b2c1a23
1414d77a000
15ba7e1490
hex772c3e00

1999388160 has 960 divisors, whose sum is σ = 9192268800. Its totient is φ = 397393920.

The previous prime is 1999388159. The next prime is 1999388201. The reversal of 1999388160 is 618839991.

1999388160 is a `hidden beast` number, since 19 + 99 + 388 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 1999388097 and 1999388106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86929909 + ... + 86929931.

It is an arithmetic number, because the mean of its divisors is an integer number (9575280).

Almost surely, 21999388160 is an apocalyptic number.

1999388160 is a gapful number since it is divisible by the number (10) 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 1999388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596134400).

1999388160 is an abundant number, since it is smaller than the sum of its proper divisors (7192880640).

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

1999388160 is a wasteful number, since it uses less digits than its factorization.

1999388160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The square root of 1999388160 is about 44714.5184475915. The cubic root of 1999388160 is about 1259.7925584421.

The spelling of 1999388160 in words is "one billion, nine hundred ninety-nine million, three hundred eighty-eight thousand, one hundred sixty".