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990450 = 232523171
BaseRepresentation
bin11110001110011110010
31212022122100
43301303302
5223143300
633121230
711263416
oct3616362
91768570
10990450
1161715a
123b9216
13288a86
141bad46
15148700
hexf1cf2

990450 has 72 divisors (see below), whose sum is σ = 2785536. Its totient is φ = 252000.

The previous prime is 990397. The next prime is 990463. The reversal of 990450 is 54099.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13915 + ... + 13985.

It is an arithmetic number, because the mean of its divisors is an integer number (38688).

2990450 is an apocalyptic number.

990450 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 990450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392768).

990450 is an abundant number, since it is smaller than the sum of its proper divisors (1795086).

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

990450 is a wasteful number, since it uses less digits than its factorization.

990450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 990450 is about 995.2135449239. The cubic root of 990450 is about 99.6806478946.

The spelling of 990450 in words is "nine hundred ninety thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 31 45 50 62 71 75 90 93 142 150 155 186 213 225 279 310 355 426 450 465 558 639 710 775 930 1065 1278 1395 1550 1775 2130 2201 2325 2790 3195 3550 4402 4650 5325 6390 6603 6975 10650 11005 13206 13950 15975 19809 22010 31950 33015 39618 55025 66030 99045 110050 165075 198090 330150 495225 990450