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990024 = 23377183
BaseRepresentation
bin11110001101101001000
31212022001120
43301231020
5223140044
633115240
711262240
oct3615510
91768046
10990024
11616902
123b8b20
13288819
141bab20
15148519
hexf1b48

990024 has 64 divisors (see below), whose sum is σ = 2903040. Its totient is φ = 275520.

The previous prime is 990023. The next prime is 990037. The reversal of 990024 is 420099.

990024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 9952-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 989976 and 990003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11887 + ... + 11969.

It is an arithmetic number, because the mean of its divisors is an integer number (45360).

2990024 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 990024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451520).

990024 is an abundant number, since it is smaller than the sum of its proper divisors (1913016).

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

990024 is a wasteful number, since it uses less digits than its factorization.

990024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 990024 is about 994.9994974873. Note that the first 3 decimals coincide. The cubic root of 990024 is about 99.6663547129. Note that the first 3 decimals are identical.

The spelling of 990024 in words is "nine hundred ninety thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 71 83 84 142 166 168 213 249 284 332 426 497 498 568 581 664 852 994 996 1162 1491 1704 1743 1988 1992 2324 2982 3486 3976 4648 5893 5964 6972 11786 11928 13944 17679 23572 35358 41251 47144 70716 82502 123753 141432 165004 247506 330008 495012 990024