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1000000090 = 25149671141
BaseRepresentation
bin111011100110101…
…100101001011010
32120200200021020101
4323212230221122
54022000000330
6243121250014
733531601105
oct7346545132
92520607211
101000000090
11473523961
1223aa9390a
1312c23a23b
1496b4b73c
155cbd14ca
hex3b9aca5a

1000000090 has 16 divisors (see below), whose sum is σ = 1812083400. Its totient is φ = 397314880.

The previous prime is 1000000087. The next prime is 1000000093. The reversal of 1000000090 is 900000001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1000000087) and next prime (1000000093).

It can be written as a sum of positive squares in 4 ways, for example, as 386397649 + 613602441 = 19657^2 + 24771^2 .

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

1000000090 is a modest number, since divided by 90 gives 10 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1000000093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 334081 + ... + 337060.

Almost surely, 21000000090 is an apocalyptic number.

1000000090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1000000090 is a deficient number, since it is larger than the sum of its proper divisors (812083310).

1000000090 is a wasteful number, since it uses less digits than its factorization.

1000000090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671297.

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

The square root of 1000000090 is about 31622.7780247087. The cubic root of 1000000090 is about 1000.0000300000. Note that the first 4 decimals are identical.

Adding to 1000000090 its reverse (900000001), we get a palindrome (1900000091).

It can be divided in two parts, 10000000 and 90, that multiplied together give a square (900000000 = 300002).

The spelling of 1000000090 in words is "one billion, ninety", and thus it is an aban number and an uban number.

Divisors: 1 2 5 10 149 298 745 1490 671141 1342282 3355705 6711410 100000009 200000018 500000045 1000000090