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990036 = 223389103
BaseRepresentation
bin11110001101101010100
31212022002000
43301231110
5223140121
633115300
711262255
oct3615524
91768060
10990036
11616913
123b8b30
13288828
141bab2c
15148526
hexf1b54

990036 has 48 divisors (see below), whose sum is σ = 2620800. Its totient is φ = 323136.

The previous prime is 990023. The next prime is 990037. The reversal of 990036 is 630099.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 989991 and 990009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990037) by changing a digit.

990036 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9561 + ... + 9663.

It is an arithmetic number, because the mean of its divisors is an integer number (54600).

2990036 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 990036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310400).

990036 is an abundant number, since it is smaller than the sum of its proper divisors (1630764).

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

990036 is a wasteful number, since it uses less digits than its factorization.

990036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 990036 is about 995.0055276228. The cubic root of 990036 is about 99.6667573939. Note that the first 3 decimals are identical.

The spelling of 990036 in words is "nine hundred ninety thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 89 103 108 178 206 267 309 356 412 534 618 801 927 1068 1236 1602 1854 2403 2781 3204 3708 4806 5562 9167 9612 11124 18334 27501 36668 55002 82503 110004 165006 247509 330012 495018 990036