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990432 = 253219181
BaseRepresentation
bin11110001110011100000
31212022121200
43301303200
5223143212
633121200
711263362
oct3616340
91768550
10990432
11617143
123b9200
13288a71
141bad32
151486dc
hexf1ce0

990432 has 72 divisors (see below), whose sum is σ = 2981160. Its totient is φ = 311040.

The previous prime is 990397. The next prime is 990463. The reversal of 990432 is 234099.

990432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 990396 and 990405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5382 + ... + 5562.

It is an arithmetic number, because the mean of its divisors is an integer number (41405).

2990432 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 990432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490580).

990432 is an abundant number, since it is smaller than the sum of its proper divisors (1990728).

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

990432 is a wasteful number, since it uses less digits than its factorization.

990432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 990432 is about 995.2045015975. The cubic root of 990432 is about 99.6800440403.

The spelling of 990432 in words is "nine hundred ninety thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 181 228 288 304 342 362 456 543 608 684 724 912 1086 1368 1448 1629 1824 2172 2736 2896 3258 3439 4344 5472 5792 6516 6878 8688 10317 13032 13756 17376 20634 26064 27512 30951 41268 52128 55024 61902 82536 110048 123804 165072 247608 330144 495216 990432