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989712 = 24332979
BaseRepresentation
bin11110001101000010000
31212021122000
43301220100
5223132322
633114000
711261313
oct3615020
91767560
10989712
11616649
123b8900
13288639
141ba97a
151483ac
hexf1a10

989712 has 80 divisors (see below), whose sum is σ = 2976000. Its totient is φ = 314496.

The previous prime is 989687. The next prime is 989719. The reversal of 989712 is 217989.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (989719) by changing a digit.

989712 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12489 + ... + 12567.

It is an arithmetic number, because the mean of its divisors is an integer number (37200).

2989712 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 989712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488000).

989712 is an abundant number, since it is smaller than the sum of its proper divisors (1986288).

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

989712 is a wasteful number, since it uses less digits than its factorization.

989712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 113 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 989712 is about 994.8427011342. The cubic root of 989712 is about 99.6558838658.

The spelling of 989712 in words is "nine hundred eighty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 79 87 108 116 144 158 174 216 232 237 261 316 348 432 464 474 522 632 696 711 783 948 1044 1264 1392 1422 1566 1896 2088 2133 2291 2844 3132 3792 4176 4266 4582 5688 6264 6873 8532 9164 11376 12528 13746 17064 18328 20619 27492 34128 36656 41238 54984 61857 82476 109968 123714 164952 247428 329904 494856 989712