Search a number
-
+
285450240 = 2133523101
BaseRepresentation
bin10001000000111…
…010000000000000
3201220010101010010
4101000322000000
51041033401430
644154104520
710034200305
oct2100720000
9656111103
10285450240
11137146a99
127b71b140
13471a538a
1429ca70ac
151a0d7cb0
hex1103a000

285450240 has 224 divisors, whose sum is σ = 962534016. Its totient is φ = 72089600.

The previous prime is 285450239. The next prime is 285450251. The reversal of 285450240 is 42054582.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 285450198 and 285450207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2826190 + ... + 2826290.

Almost surely, 2285450240 is an apocalyptic number.

285450240 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 285450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481267008).

285450240 is an abundant number, since it is smaller than the sum of its proper divisors (677083776).

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

285450240 is a wasteful number, since it uses less digits than its factorization.

285450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 285450240 is about 16895.2727116197. The cubic root of 285450240 is about 658.4307991500.

The spelling of 285450240 in words is "two hundred eighty-five million, four hundred fifty thousand, two hundred forty".