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1000010090 = 251931412101
BaseRepresentation
bin111011100110101…
…111000101101010
32120200200202221202
4323212233011222
54022000310330
6243121404202
733531642212
oct7346570552
92520622852
101000010090
11473530422
1223aa99662
1312c241961
1496b51242
155cbd4445
hex3b9af16a

1000010090 has 96 divisors (see below), whose sum is σ = 2024593920. Its totient is φ = 354240000.

The previous prime is 1000010069. The next prime is 1000010101. The reversal of 1000010090 is 900100001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9901040 + ... + 9901140.

It is an arithmetic number, because the mean of its divisors is an integer number (21089520).

Almost surely, 21000010090 is an apocalyptic number.

1000010090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1000010090 is an abundant number, since it is smaller than the sum of its proper divisors (1024583830).

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

1000010090 is a wasteful number, since it uses less digits than its factorization.

1000010090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 1000010090 is about 31622.9361381893. The cubic root of 1000010090 is about 1000.0033633220.

Adding to 1000010090 its reverse (900100001), we get a palindrome (1900110091).

The spelling of 1000010090 in words is "one billion, ten thousand, ninety".

Divisors: 1 2 5 10 19 31 38 41 62 82 95 101 155 190 202 205 310 410 505 589 779 1010 1178 1271 1558 1681 1919 2542 2945 3131 3362 3838 3895 4141 5890 6262 6355 7790 8282 8405 9595 12710 15655 16810 19190 20705 24149 31310 31939 41410 48298 52111 59489 63878 78679 104222 118978 120745 128371 157358 159695 169781 241490 256742 260555 297445 319390 339562 393395 521110 594890 641855 786790 848905 990109 1283710 1697810 1980218 2439049 3225839 4878098 4950545 5263211 6451678 9901090 10526422 12195245 16129195 24390490 26316055 32258390 52632110 100001009 200002018 500005045 1000010090