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990012 = 2231723211
BaseRepresentation
bin11110001101100111100
31212022001010
43301230330
5223140022
633115220
711262222
oct3615474
91768033
10990012
116168a1
123b8b10
1328880a
141bab12
1514850c
hexf1b3c

990012 has 48 divisors (see below), whose sum is σ = 2564352. Its totient is φ = 295680.

The previous prime is 990001. The next prime is 990013. The reversal of 990012 is 210099.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990013) by changing a digit.

990012 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, 4587 + ... + 4797.

It is an arithmetic number, because the mean of its divisors is an integer number (53424).

2990012 is an apocalyptic number.

990012 is a gapful number since it is divisible by the number (92) 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 990012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282176).

990012 is an abundant number, since it is smaller than the sum of its proper divisors (1574340).

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

990012 is a wasteful number, since it uses less digits than its factorization.

990012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 990012 is about 994.9934673152. The cubic root of 990012 is about 99.6659520287.

The spelling of 990012 in words is "nine hundred ninety thousand, twelve".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 138 204 211 276 391 422 633 782 844 1173 1266 1564 2346 2532 3587 4692 4853 7174 9706 10761 14348 14559 19412 21522 29118 43044 58236 82501 165002 247503 330004 495006 990012