Search a number
-
+
985965750 = 233537211271
BaseRepresentation
bin111010110001001…
…010010010110110
32112201021020202000
4322301022102312
54004401401000
6241500400130
733301366500
oct7261122266
92481236660
10985965750
11466608730
12236246046
131293652b3
1494d36d70
155b85d000
hex3ac4a4b6

985965750 has 384 divisors, whose sum is σ = 3482818560. Its totient is φ = 204120000.

The previous prime is 985965719. The next prime is 985965797. The reversal of 985965750 is 57569589.

It is a happy number.

985965750 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3638115 + ... + 3638385.

It is an arithmetic number, because the mean of its divisors is an integer number (9069840).

Almost surely, 2985965750 is an apocalyptic number.

985965750 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 985965750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741409280).

985965750 is an abundant number, since it is smaller than the sum of its proper divisors (2496852810).

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

985965750 is a wasteful number, since it uses less digits than its factorization.

985965750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 54.

The square root of 985965750 is about 31400.0915603761. The cubic root of 985965750 is about 995.2998599610.

The spelling of 985965750 in words is "nine hundred eighty-five million, nine hundred sixty-five thousand, seven hundred fifty".