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280530432 = 2933713223
BaseRepresentation
bin10000101110001…
…000111000000000
3201112212102102000
4100232020320000
51033303433212
643500424000
76644316660
oct2056107000
9645772360
10280530432
11134396736
1279b48000
1346171c50
14293861a0
15199651dc
hex10b88e00

280530432 has 320 divisors, whose sum is σ = 1026600960. Its totient is φ = 73654272.

The previous prime is 280530391. The next prime is 280530433. The reversal of 280530432 is 234035082.

280530432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 280530396 and 280530405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (280530433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1257873 + ... + 1258095.

It is an arithmetic number, because the mean of its divisors is an integer number (3208128).

Almost surely, 2280530432 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 280530432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513300480).

280530432 is an abundant number, since it is smaller than the sum of its proper divisors (746070528).

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

280530432 is a wasteful number, since it uses less digits than its factorization.

280530432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 280530432 is about 16749.0427189138. The cubic root of 280530432 is about 654.6261153122.

The spelling of 280530432 in words is "two hundred eighty million, five hundred thirty thousand, four hundred thirty-two".