Search a number
-
+
989889120 = 253351137563
BaseRepresentation
bin111011000000001…
…000001001100000
32112222122120121000
4323000020021200
54011402422440
6242120432000
733346630053
oct7300101140
92488576530
10989889120
11468848390
12237618600
1312a10a00c
1495678a9a
155bd85730
hex3b008260

989889120 has 384 divisors, whose sum is σ = 3888622080. Its totient is φ = 233072640.

The previous prime is 989889119. The next prime is 989889127. The reversal of 989889120 is 21988989.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (989889127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1757959 + ... + 1758521.

It is an arithmetic number, because the mean of its divisors is an integer number (10126620).

Almost surely, 2989889120 is an apocalyptic number.

989889120 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 989889120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944311040).

989889120 is an abundant number, since it is smaller than the sum of its proper divisors (2898732960).

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

989889120 is a wasteful number, since it uses less digits than its factorization.

989889120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The square root of 989889120 is about 31462.5033969009. The cubic root of 989889120 is about 996.6182835516.

The spelling of 989889120 in words is "nine hundred eighty-nine million, eight hundred eighty-nine thousand, one hundred twenty".