Search a number
-
+
283264640 = 275442601
BaseRepresentation
bin10000111000100…
…100011010000000
3201202000100000222
4100320210122000
51040003432030
644035202212
710006465301
oct2070443200
9652010028
10283264640
11135993a0a
127aa46368
13468bb619
14298987a8
1519d053e5
hex10e24680

283264640 has 32 divisors (see below), whose sum is σ = 677181060. Its totient is φ = 113305600.

The previous prime is 283264633. The next prime is 283264669. The reversal of 283264640 is 46462382.

It can be written as a sum of positive squares in 2 ways, for example, as 240126016 + 43138624 = 15496^2 + 6568^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 283264640.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 220661 + ... + 221940.

Almost surely, 2283264640 is an apocalyptic number.

283264640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

283264640 is an abundant number, since it is smaller than the sum of its proper divisors (393916420).

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

283264640 is an equidigital number, since it uses as much as digits as its factorization.

283264640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442620 (or 442608 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The square root of 283264640 is about 16830.4676108538. The cubic root of 283264640 is about 656.7460281259.

The spelling of 283264640 in words is "two hundred eighty-three million, two hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 442601 885202 1770404 2213005 3540808 4426010 7081616 8852020 14163232 17704040 28326464 35408080 56652928 70816160 141632320 283264640