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985141000 = 23538911069
BaseRepresentation
bin111010101110000…
…000111100001000
32112122201100101201
4322232000330020
54004144003000
6241430553544
733261363124
oct7256007410
92478640351
10985141000
114660a5018
12235b088b4
13129136a8c
1494ba0584
155b74896a
hex3ab80f08

985141000 has 64 divisors (see below), whose sum is σ = 2331342000. Its totient is φ = 389593600.

The previous prime is 985140997. The next prime is 985141039. The reversal of 985141000 is 141589.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 48413764 + 936727236 = 6958^2 + 30606^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 985141000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83466 + ... + 94534.

Almost surely, 2985141000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 985141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165671000).

985141000 is an abundant number, since it is smaller than the sum of its proper divisors (1346201000).

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

985141000 is a wasteful number, since it uses less digits than its factorization.

985141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11179 (or 11165 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 985141000 is about 31386.9558893500. The cubic root of 985141000 is about 995.0222632494.

Adding to 985141000 its reverse (141589), we get a palindrome (985282589).

The spelling of 985141000 in words is "nine hundred eighty-five million, one hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 125 178 200 250 356 445 500 712 890 1000 1780 2225 3560 4450 8900 11069 11125 17800 22138 22250 44276 44500 55345 88552 89000 110690 221380 276725 442760 553450 985141 1106900 1383625 1970282 2213800 2767250 3940564 4925705 5534500 7881128 9851410 11069000 19702820 24628525 39405640 49257050 98514100 123142625 197028200 246285250 492570500 985141000