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990912 = 26313397
BaseRepresentation
bin11110001111011000000
31212100021110
43301323000
5223202122
633123320
711264646
oct3617300
91770243
10990912
1161753a
123b9540
13289050
141bb196
1514890c
hexf1ec0

990912 has 56 divisors (see below), whose sum is σ = 2830576. Its totient is φ = 304128.

The previous prime is 990893. The next prime is 990917. The reversal of 990912 is 219099.

990912 = T143 + T144 + ... + T206.

990912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 990912.

It is not an unprimeable number, because it can be changed into a prime (990917) by changing a digit.

990912 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 7 ways as a sum of consecutive naturals, for example, 2298 + ... + 2694.

It is an arithmetic number, because the mean of its divisors is an integer number (50546).

2990912 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 990912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415288).

990912 is an abundant number, since it is smaller than the sum of its proper divisors (1839664).

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

990912 is a wasteful number, since it uses less digits than its factorization.

990912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 30.

The square root of 990912 is about 995.4456288517. The cubic root of 990912 is about 99.6961443191.

The spelling of 990912 in words is "nine hundred ninety thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 397 416 624 794 832 1191 1248 1588 2382 2496 3176 4764 5161 6352 9528 10322 12704 15483 19056 20644 25408 30966 38112 41288 61932 76224 82576 123864 165152 247728 330304 495456 990912