Search a number
-
+
989724060 = 223251319113197
BaseRepresentation
bin111010111111011…
…111110110011100
32112222100012011200
4322333133312130
54011332132220
6242113115500
733345341613
oct7277376634
92488305150
10989724060
11468745376
12237558b90
1312a07cb50
149563487a
155bd51890
hex3afdfd9c

989724060 has 288 divisors, whose sum is σ = 3450807360. Its totient is φ = 227598336.

The previous prime is 989723993. The next prime is 989724083. The reversal of 989724060 is 60427989.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 989723997 and 989724015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5023882 + ... + 5024078.

It is an arithmetic number, because the mean of its divisors is an integer number (11981970).

Almost surely, 2989724060 is an apocalyptic number.

989724060 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 989724060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725403680).

989724060 is an abundant number, since it is smaller than the sum of its proper divisors (2461083300).

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

989724060 is a wasteful number, since it uses less digits than its factorization.

989724060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 989724060 is about 31459.8801650610. The cubic root of 989724060 is about 996.5628864522.

The spelling of 989724060 in words is "nine hundred eighty-nine million, seven hundred twenty-four thousand, sixty".