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982689120 = 253257219733
BaseRepresentation
bin111010100100101…
…010010101100000
32112111002210001100
4322210222111200
54003032022440
6241302234400
733231501600
oct7244522540
92474083040
10982689120
1146477a976
12235125a00
13128788a6a
1494722c00
155b412230
hex3a92a560

982689120 has 432 divisors, whose sum is σ = 4111838640. Its totient is φ = 212502528.

The previous prime is 982689091. The next prime is 982689161. The reversal of 982689120 is 21986289.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1340274 + ... + 1341006.

It is an arithmetic number, because the mean of its divisors is an integer number (9518145).

Almost surely, 2982689120 is an apocalyptic number.

982689120 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 982689120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055919320).

982689120 is an abundant number, since it is smaller than the sum of its proper divisors (3129149520).

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

982689120 is a wasteful number, since it uses less digits than its factorization.

982689120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 982689120 is about 31347.8726550942. The cubic root of 982689120 is about 994.1960864229.

The spelling of 982689120 in words is "nine hundred eighty-two million, six hundred eighty-nine thousand, one hundred twenty".