Search a number
-
+
286868240 = 24511033251
BaseRepresentation
bin10001000110010…
…100001100010000
3201222210102020122
4101012110030100
51041414240430
644244325412
710052224361
oct2106241420
9658712218
10286868240
11137a2539a
12800a3868
1347580929
142a155b68
151a2b7ee5
hex11194310

286868240 has 40 divisors (see below), whose sum is σ = 667778688. Its totient is φ = 114608000.

The previous prime is 286868237. The next prime is 286868243. The reversal of 286868240 is 42868682.

It is an interprime number because it is at equal distance from previous prime (286868237) and next prime (286868243).

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 286868191 and 286868200.

It is not an unprimeable number, because it can be changed into a prime (286868243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86615 + ... + 89865.

Almost surely, 2286868240 is an apocalyptic number.

286868240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

286868240 is an abundant number, since it is smaller than the sum of its proper divisors (380910448).

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

286868240 is a wasteful number, since it uses less digits than its factorization.

286868240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4367 (or 4361 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 44.

The square root of 286868240 is about 16937.1851262245. The cubic root of 286868240 is about 659.5192703789.

The spelling of 286868240 in words is "two hundred eighty-six million, eight hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1103 2206 3251 4412 5515 6502 8824 11030 13004 16255 17648 22060 26008 32510 44120 52016 65020 88240 130040 260080 3585853 7171706 14343412 17929265 28686824 35858530 57373648 71717060 143434120 286868240