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985320000 = 26325471723
BaseRepresentation
bin111010101110101…
…100101001000000
32112200001102221100
4322232230221000
54004220220000
6241434454400
733263040030
oct7256545100
92480042840
10985320000
11466207555
12235b94400
1312919a3b2
1494c098c0
155b781a00
hex3abaca40

985320000 has 840 divisors, whose sum is σ = 4456273536. Its totient is φ = 202752000.

The previous prime is 985319989. The next prime is 985320013. The reversal of 985320000 is 23589.

It is a tau number, because it is divible by the number of its divisors (840).

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 42839989 + ... + 42840011.

Almost surely, 2985320000 is an apocalyptic number.

985320000 is a gapful number since it is divisible by the number (90) 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 985320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228136768).

985320000 is an abundant number, since it is smaller than the sum of its proper divisors (3470953536).

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

985320000 is a wasteful number, since it uses less digits than its factorization.

985320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 985320000 is about 31389.8072628680. The cubic root of 985320000 is about 995.0825247412.

Adding to 985320000 its reverse (23589), we get a palindrome (985343589).

The spelling of 985320000 in words is "nine hundred eighty-five million, three hundred twenty thousand".