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286489140 = 2235741127131
BaseRepresentation
bin10001000100110…
…111101000110100
3201222002011012220
4101010313220310
51041320123030
644232242340
710046055210
oct2104675064
9658064186
10286489140
11137796593
127bb403b0
134747a202
142a097940
151a240a10
hex11137a34

286489140 has 192 divisors, whose sum is σ = 953745408. Its totient is φ = 62899200.

The previous prime is 286489109. The next prime is 286489193. The reversal of 286489140 is 41984682.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 286489092 and 286489101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2186875 + ... + 2187005.

It is an arithmetic number, because the mean of its divisors is an integer number (4967424).

Almost surely, 2286489140 is an apocalyptic number.

286489140 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 286489140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476872704).

286489140 is an abundant number, since it is smaller than the sum of its proper divisors (667256268).

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

286489140 is a wasteful number, since it uses less digits than its factorization.

286489140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 286489140 is about 16925.9900744388. The cubic root of 286489140 is about 659.2286212957.

The spelling of 286489140 in words is "two hundred eighty-six million, four hundred eighty-nine thousand, one hundred forty".