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1000250020 = 2257112922397
BaseRepresentation
bin111011100111101…
…001101010100100
32120201010222002001
4323213221222210
54022031000040
6243130455044
733533661550
oct7347515244
92521128061
101000250020
11473684710
1223ab94484
1312c2c6c23
1496bb4860
155cc3059a
hex3b9e9aa4

1000250020 has 96 divisors (see below), whose sum is σ = 2709262080. Its totient is φ = 301002240.

The previous prime is 1000250011. The next prime is 1000250023. The reversal of 1000250020 is 200520001.

1000250020 = T20000 + T20001 + ... + T20004.

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

It is a junction number, because it is equal to n+sod(n) for n = 1000249979 and 1000250006.

It is not an unprimeable number, because it can be changed into a prime (1000250023) 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 31 ways as a sum of consecutive naturals, for example, 33462 + ... + 55858.

It is an arithmetic number, because the mean of its divisors is an integer number (28221480).

Almost surely, 21000250020 is an apocalyptic number.

1000250020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000250020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354631040).

1000250020 is an abundant number, since it is smaller than the sum of its proper divisors (1709012060).

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

1000250020 is a wasteful number, since it uses less digits than its factorization.

1000250020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22453 (or 22451 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 1000250020 is about 31626.7295179252. The cubic root of 1000250020 is about 1000.0833330554.

Adding to 1000250020 its reverse (200520001), we get a palindrome (1200770021).

The spelling of 1000250020 in words is "one billion, two hundred fifty thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 29 35 44 55 58 70 77 110 116 140 145 154 203 220 290 308 319 385 406 580 638 770 812 1015 1276 1540 1595 2030 2233 3190 4060 4466 6380 8932 11165 22330 22397 44660 44794 89588 111985 156779 223970 246367 313558 447940 492734 627116 649513 783895 985468 1231835 1299026 1567790 1724569 2463670 2598052 3135580 3247565 3449138 4546591 4927340 6495130 6898276 7144643 8622845 9093182 12990260 14289286 17245690 18186364 22732955 28578572 34491380 35723215 45465910 50012501 71446430 90931820 100025002 142892860 200050004 250062505 500125010 1000250020