Search a number
-
+
989946360 = 2334513191237
BaseRepresentation
bin111011000000010…
…110000111111000
32112222202111010000
4323000112013320
54011411240420
6242121553000
733350255664
oct7300260770
92488674100
10989946360
11468887397
12237645760
1312a12a0a0
14956918a4
155bd97690
hex3b0161f8

989946360 has 320 divisors, whose sum is σ = 3774909600. Its totient is φ = 230667264.

The previous prime is 989946337. The next prime is 989946371. The reversal of 989946360 is 63649989.

It is a happy number.

989946360 is a `hidden beast` number, since 98 + 99 + 463 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 989946297 and 989946306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 799662 + ... + 800898.

Almost surely, 2989946360 is an apocalyptic number.

989946360 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 989946360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887454800).

989946360 is an abundant number, since it is smaller than the sum of its proper divisors (2784963240).

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

989946360 is a wasteful number, since it uses less digits than its factorization.

989946360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 989946360 is about 31463.4130380034. The cubic root of 989946360 is about 996.6374928852.

The spelling of 989946360 in words is "nine hundred eighty-nine million, nine hundred forty-six thousand, three hundred sixty".