Search a number
-
+
286813440 = 2833543193
BaseRepresentation
bin10001000110000…
…110110100000000
3201222200122002000
4101012012310000
51041411012230
644243224000
710051605534
oct2106066400
9658618060
10286813440
11137998201
1280078000
13475619c4
142a13dbc4
151a2a6b60
hex11186d00

286813440 has 288 divisors, whose sum is σ = 1046855040. Its totient is φ = 74317824.

The previous prime is 286813403. The next prime is 286813453. The reversal of 286813440 is 44318682.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 286813395 and 286813404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1485984 + ... + 1486176.

Almost surely, 2286813440 is an apocalyptic number.

286813440 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 286813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523427520).

286813440 is an abundant number, since it is smaller than the sum of its proper divisors (760041600).

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

286813440 is a wasteful number, since it uses less digits than its factorization.

286813440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 286813440 is about 16935.5673067069. The cubic root of 286813440 is about 659.4772720529.

The spelling of 286813440 in words is "two hundred eighty-six million, eight hundred thirteen thousand, four hundred forty".