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990560 = 25541151
BaseRepresentation
bin11110001110101100000
31212022210102
43301311200
5223144220
633121532
711263634
oct3616540
91768712
10990560
1161724a
123b92a8
13288b3c
141badc4
15148775
hexf1d60

990560 has 48 divisors (see below), whose sum is σ = 2413152. Its totient is φ = 384000.

The previous prime is 990559. The next prime is 990589. The reversal of 990560 is 65099.

990560 = T199 + T200 + ... + T239.

990560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9905602 = 1962418227200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6485 + ... + 6635.

It is an arithmetic number, because the mean of its divisors is an integer number (50274).

2990560 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 990560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206576).

990560 is an abundant number, since it is smaller than the sum of its proper divisors (1422592).

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

990560 is a wasteful number, since it uses less digits than its factorization.

990560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 29.

The square root of 990560 is about 995.2688079107. The cubic root of 990560 is about 99.6843379565.

The spelling of 990560 in words is "nine hundred ninety thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 151 160 164 205 302 328 410 604 656 755 820 1208 1312 1510 1640 2416 3020 3280 4832 6040 6191 6560 12080 12382 24160 24764 30955 49528 61910 99056 123820 198112 247640 495280 990560