Search a number
-
+
1999000 = 23531999
BaseRepresentation
bin111101000000010011000
310202120010001
413220002120
51002432000
6110502344
722663663
oct7500230
93676101
101999000
111145973
128049b4
1354cb53
143a06da
1529746a
hex1e8098

1999000 has 32 divisors (see below), whose sum is σ = 4680000. Its totient is φ = 799200.

The previous prime is 1998991. The next prime is 1999007. The reversal of 1999000 is 9991.

1999000 is a nontrivial binomial coefficient, being equal to C(2000, 2).

1999000 is an astonishing number since 1999000 = 0 + ... + 1999.

It is a self number, because there is not a number n which added to its sum of digits gives 1999000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1999007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 1999.

It is an arithmetic number, because the mean of its divisors is an integer number (146250).

21999000 is an apocalyptic number.

1999000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1999000 is the 1999-th triangular number and also the 1000-th hexagonal number.

1999000 is the 667-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1999000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340000).

1999000 is an abundant number, since it is smaller than the sum of its proper divisors (2681000).

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

1999000 is a wasteful number, since it uses less digits than its factorization.

1999000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 28.

The square root of 1999000 is about 1413.8599647773. The cubic root of 1999000 is about 125.9711028046.

The spelling of 1999000 in words is "one million, nine hundred ninety-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1999 3998 7996 9995 15992 19990 39980 49975 79960 99950 199900 249875 399800 499750 999500 1999000