Search a number
-
+
283098240 = 2734543127
BaseRepresentation
bin10000110111111…
…011110010000000
3201201200212210000
4100313323302000
51034433120430
644031440000
710005203205
oct2067736200
9651625700
10283098240
1113588a997
127a986000
1346860969
1429853cac
1519cc0e60
hex10dfbc80

283098240 has 320 divisors, whose sum is σ = 1042652160. Its totient is φ = 73156608.

The previous prime is 283098239. The next prime is 283098241. The reversal of 283098240 is 42890382.

It is an interprime number because it is at equal distance from previous prime (283098239) and next prime (283098241).

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×2830982402 = 160289226982195200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 283098195 and 283098204.

It is not an unprimeable number, because it can be changed into a prime (283098241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2229057 + ... + 2229183.

It is an arithmetic number, because the mean of its divisors is an integer number (3258288).

Almost surely, 2283098240 is an apocalyptic number.

283098240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 283098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521326080).

283098240 is an abundant number, since it is smaller than the sum of its proper divisors (759553920).

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

283098240 is a wasteful number, since it uses less digits than its factorization.

283098240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 283098240 is about 16825.5234688256. The cubic root of 283098240 is about 656.6174040650.

The spelling of 283098240 in words is "two hundred eighty-three million, ninety-eight thousand, two hundred forty".