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990880 = 25511563
BaseRepresentation
bin11110001111010100000
31212100020021
43301322200
5223202010
633123224
711264602
oct3617240
91770207
10990880
11617510
123b9514
13289027
141bb172
151488da
hexf1ea0

990880 has 48 divisors (see below), whose sum is σ = 2558304. Its totient is φ = 359680.

The previous prime is 990851. The next prime is 990881. The reversal of 990880 is 88099.

990880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (990881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1479 + ... + 2041.

It is an arithmetic number, because the mean of its divisors is an integer number (53298).

2990880 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 990880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279152).

990880 is an abundant number, since it is smaller than the sum of its proper divisors (1567424).

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

990880 is a wasteful number, since it uses less digits than its factorization.

990880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The square root of 990880 is about 995.4295555186. The cubic root of 990880 is about 99.6950711289.

The spelling of 990880 in words is "nine hundred ninety thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 563 880 1126 1760 2252 2815 4504 5630 6193 9008 11260 12386 18016 22520 24772 30965 45040 49544 61930 90080 99088 123860 198176 247720 495440 990880