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989440 = 285773
BaseRepresentation
bin11110001100100000000
31212021020221
43301210000
5223130230
633112424
711260444
oct3614400
91767227
10989440
11616421
123b8714
1328848a
141ba824
1514827a
hexf1900

989440 has 36 divisors (see below), whose sum is σ = 2373084. Its totient is φ = 395264.

The previous prime is 989423. The next prime is 989441. The reversal of 989440 is 44989.

It can be written as a sum of positive squares in 2 ways, for example, as 186624 + 802816 = 432^2 + 896^2 .

It is a junction number, because it is equal to n+sod(n) for n = 989396 and 989405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (989441) by changing a digit.

989440 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 894 + ... + 1666.

It is an arithmetic number, because the mean of its divisors is an integer number (65919).

2989440 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 989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186542).

989440 is an abundant number, since it is smaller than the sum of its proper divisors (1383644).

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

989440 is an equidigital number, since it uses as much as digits as its factorization.

989440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 989440 is about 994.7059867117. The cubic root of 989440 is about 99.6467536394.

The spelling of 989440 in words is "nine hundred eighty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 773 1280 1546 3092 3865 6184 7730 12368 15460 24736 30920 49472 61840 98944 123680 197888 247360 494720 989440