[go: up one dir, main page]

Search a number
-
+
1000900 = 225210009
BaseRepresentation
bin11110100010111000100
31212211222101
43310113010
5224012100
633241444
711336035
oct3642704
91784871
101000900
11623a9a
12403284
13290764
141c0a8c
1514b86a
hexf45c4

1000900 has 18 divisors (see below), whose sum is σ = 2172170. Its totient is φ = 400320.

The previous prime is 1000889. The next prime is 1000907. The reversal of 1000900 is 90001.

It is a happy number.

1000900 is nontrivially palindromic in base 9.

1000900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 331776 + 669124 = 576^2 + 818^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

1000900 is a modest number, since divided by 900 gives 100 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1000907) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4905 + ... + 5104.

21000900 is an apocalyptic number.

1000900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000900 is an abundant number, since it is smaller than the sum of its proper divisors (1171270).

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

1000900 is a wasteful number, since it uses less digits than its factorization.

1000900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10023 (or 10016 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 1000900 is about 1000.4498987955. The cubic root of 1000900 is about 100.0299910045.

Adding to 1000900 its reverse (90001), we get a palindrome (1090901).

The spelling of 1000900 in words is "one million, nine hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 10009 20018 40036 50045 100090 200180 250225 500450 1000900