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287106084 = 22327975169
BaseRepresentation
bin10001000111001…
…110010000100100
3202000020111111200
4101013032100210
51041444343314
644253402500
710054234656
oct2107162044
9660214450
10287106084
11138078061
1280199430
1347634c75
142a1b86d6
151a313709
hex111ce424

287106084 has 18 divisors (see below), whose sum is σ = 725740470. Its totient is φ = 95702016.

The previous prime is 287106073. The next prime is 287106089. The reversal of 287106084 is 480601782.

It can be written as a sum of positive squares in only one way, i.e., 255296484 + 31809600 = 15978^2 + 5640^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 7975169 = 287106084 / (2 + 8 + 7 + 1 + 0 + 6 + 0 + 8 + 4).

It is not an unprimeable number, because it can be changed into a prime (287106089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3987549 + ... + 3987620.

It is an arithmetic number, because the mean of its divisors is an integer number (40318915).

Almost surely, 2287106084 is an apocalyptic number.

It is an amenable number.

287106084 is an abundant number, since it is smaller than the sum of its proper divisors (438634386).

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

287106084 is a wasteful number, since it uses less digits than its factorization.

287106084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7975179 (or 7975174 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 287106084 is about 16944.2050270882. The cubic root of 287106084 is about 659.7014903526.

The spelling of 287106084 in words is "two hundred eighty-seven million, one hundred six thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 7975169 15950338 23925507 31900676 47851014 71776521 95702028 143553042 287106084