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1000090 = 257213157
BaseRepresentation
bin11110100001010011010
31212210212101
43310022122
5224000330
633234014
711333500
oct3641232
91783771
101000090
11623423
1240290a
13290290
141c0670
1514b4ca
hexf429a

1000090 has 48 divisors (see below), whose sum is σ = 2269512. Its totient is φ = 314496.

The previous prime is 1000081. The next prime is 1000099. The reversal of 1000090 is 900001.

It is a happy number.

1000090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1000081) and next prime (1000099).

It can be written as a sum of positive squares in 4 ways, for example, as 519841 + 480249 = 721^2 + 693^2 .

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

1000090 is a modest number, since divided by 90 gives 10 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000099) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6292 + ... + 6448.

21000090 is an apocalyptic number.

1000090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1000090 is an abundant number, since it is smaller than the sum of its proper divisors (1269422).

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

1000090 is a wasteful number, since it uses less digits than its factorization.

1000090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 184 counting only the distinct ones).

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

The square root of 1000090 is about 1000.0449989875. The cubic root of 1000090 is about 100.0029999100.

Adding to 1000090 its reverse (900001), we get a palindrome (1900091).

The spelling of 1000090 in words is "one million, ninety", and thus it is an aban number and an uban number.

Divisors: 1 2 5 7 10 13 14 26 35 49 65 70 91 98 130 157 182 245 314 455 490 637 785 910 1099 1274 1570 2041 2198 3185 4082 5495 6370 7693 10205 10990 14287 15386 20410 28574 38465 71435 76930 100009 142870 200018 500045 1000090