Search a number
-
+
985994240 = 21057114161
BaseRepresentation
bin111010110001010…
…001010000000000
32112201022200211012
4322301101100000
54004403303430
6241501140052
733301545530
oct7261212000
92481280735
10985994240
11466628080
1223625a628
1312937525a
1494d434c0
155b866695
hex3ac51400

985994240 has 352 divisors, whose sum is σ = 3070303488. Its totient is φ = 294912000.

The previous prime is 985994201. The next prime is 985994293. The reversal of 985994240 is 42499589.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16163810 + ... + 16163870.

Almost surely, 2985994240 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 985994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535151744).

985994240 is an abundant number, since it is smaller than the sum of its proper divisors (2084309248).

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

985994240 is a wasteful number, since it uses less digits than its factorization.

985994240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 50.

The square root of 985994240 is about 31400.5452181965. The cubic root of 985994240 is about 995.3094464400.

The spelling of 985994240 in words is "nine hundred eighty-five million, nine hundred ninety-four thousand, two hundred forty".