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990440 = 235112251
BaseRepresentation
bin11110001110011101000
31212022121222
43301303220
5223143230
633121212
711263403
oct3616350
91768558
10990440
11617150
123b9208
13288a79
141bad3a
151486e5
hexf1ce8

990440 has 32 divisors (see below), whose sum is σ = 2432160. Its totient is φ = 360000.

The previous prime is 990397. The next prime is 990463. The reversal of 990440 is 44099.

990440 = T289 + T290 + ... + T310.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 686 + ... + 1565.

It is an arithmetic number, because the mean of its divisors is an integer number (76005).

2990440 is an apocalyptic number.

It is an amenable number.

990440 is an abundant number, since it is smaller than the sum of its proper divisors (1441720).

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

990440 is a wasteful number, since it uses less digits than its factorization.

990440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 990440 is about 995.2085208638. The cubic root of 990440 is about 99.6803124209.

It can be divided in two parts, 990 and 440, that multiplied together give a square (435600 = 6602).

The spelling of 990440 in words is "nine hundred ninety thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2251 4502 9004 11255 18008 22510 24761 45020 49522 90040 99044 123805 198088 247610 495220 990440