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288676140 = 22354811269
BaseRepresentation
bin10001001101001…
…101100100101100
3202010012021012220
4101031031210230
51042400114030
644351155340
710103464254
oct2115154454
9663167186
10288676140
11138a4a725
1280815b50
1347a647ac
142a4a6964
151a523a10
hex1134d92c

288676140 has 24 divisors (see below), whose sum is σ = 808293360. Its totient is φ = 76980288.

The previous prime is 288676111. The next prime is 288676159. The reversal of 288676140 is 41676882.

It is a junction number, because it is equal to n+sod(n) for n = 288676092 and 288676101.

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 7 ways as a sum of consecutive naturals, for example, 2405575 + ... + 2405694.

It is an arithmetic number, because the mean of its divisors is an integer number (33678890).

Almost surely, 2288676140 is an apocalyptic number.

288676140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288676140 is an abundant number, since it is smaller than the sum of its proper divisors (519617220).

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

288676140 is a wasteful number, since it uses less digits than its factorization.

288676140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4811281 (or 4811279 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 288676140 is about 16990.4720358205. The cubic root of 288676140 is about 660.9018433502.

The spelling of 288676140 in words is "two hundred eighty-eight million, six hundred seventy-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 4811269 9622538 14433807 19245076 24056345 28867614 48112690 57735228 72169035 96225380 144338070 288676140