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288705140 = 22514435257
BaseRepresentation
bin10001001101010…
…100101001110100
3202010020201222222
4101031110221310
51042402031030
644351541512
710103644643
oct2115245164
9663221888
10288705140
11138a6a499
128082a898
1347a74a59
142a4b335a
151a52c3e5
hex11354a74

288705140 has 12 divisors (see below), whose sum is σ = 606280836. Its totient is φ = 115482048.

The previous prime is 288705127. The next prime is 288705173. The reversal of 288705140 is 41507882.

It can be written as a sum of positive squares in 2 ways, for example, as 149181796 + 139523344 = 12214^2 + 11812^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 288705140.

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 3 ways as a sum of consecutive naturals, for example, 7217609 + ... + 7217648.

It is an arithmetic number, because the mean of its divisors is an integer number (50523403).

Almost surely, 2288705140 is an apocalyptic number.

288705140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288705140 is an abundant number, since it is smaller than the sum of its proper divisors (317575696).

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

288705140 is a wasteful number, since it uses less digits than its factorization.

288705140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14435266 (or 14435264 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 35.

The square root of 288705140 is about 16991.3254338795. The cubic root of 288705140 is about 660.9239736998.

The spelling of 288705140 in words is "two hundred eighty-eight million, seven hundred five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 14435257 28870514 57741028 72176285 144352570 288705140