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1025946090 = 2325131751581
BaseRepresentation
bin111101001001101…
…011000111101010
32122111111110110100
4331021223013222
54100120233330
6245445330230
734265253321
oct7511530752
92574443410
101025946090
11487135534
12247706976
13134722bc0
149a3830b8
1560109060
hex3d26b1ea

1025946090 has 96 divisors (see below), whose sum is σ = 3041687376. Its totient is φ = 237680640.

The previous prime is 1025946083. The next prime is 1025946121. The reversal of 1025946090 is 906495201.

1025946090 is a `hidden beast` number, since 1 + 0 + 2 + 594 + 60 + 9 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 94536729 + 931409361 = 9723^2 + 30519^2 .

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5901 + ... + 45680.

Almost surely, 21025946090 is an apocalyptic number.

1025946090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1025946090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520843688).

1025946090 is an abundant number, since it is smaller than the sum of its proper divisors (2015741286).

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

1025946090 is a wasteful number, since it uses less digits than its factorization.

1025946090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51624 (or 51621 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1025946090 is about 32030.3932226877. The cubic root of 1025946090 is about 1008.5749566139.

The spelling of 1025946090 in words is "one billion, twenty-five million, nine hundred forty-six thousand, ninety".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 30 34 39 45 51 65 78 85 90 102 117 130 153 170 195 221 234 255 306 390 442 510 585 663 765 1105 1170 1326 1530 1989 2210 3315 3978 6630 9945 19890 51581 103162 154743 257905 309486 464229 515810 670553 773715 876877 928458 1341106 1547430 1753754 2011659 2321145 2630631 3352765 4023318 4384385 4642290 5261262 6034977 6705530 7891893 8768770 10058295 11399401 12069954 13153155 15783786 20116590 22798802 26306310 30174885 34198203 39459465 56997005 60349770 68396406 78918930 102594609 113994010 170991015 205189218 341982030 512973045 1025946090