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87103008 = 25322910429
BaseRepresentation
bin1010011000100…
…01011000100000
320001220021212100
411030101120200
5134244244013
612350530400
72105235426
oct514213040
9201807770
1087103008
1145192863
1225206a00
1315079455
14b7d5116
1579a8473
hex5311620

87103008 has 72 divisors (see below), whose sum is σ = 256265100. Its totient is φ = 28030464.

The previous prime is 87102997. The next prime is 87103031. The reversal of 87103008 is 80030178.

It can be written as a sum of positive squares in 2 ways, for example, as 76527504 + 10575504 = 8748^2 + 3252^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3138 + ... + 13566.

Almost surely, 287103008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87103008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128132550).

87103008 is an abundant number, since it is smaller than the sum of its proper divisors (169162092).

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

87103008 is a wasteful number, since it uses less digits than its factorization.

87103008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10474 (or 10463 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 87103008 is about 9332.8992279998. The cubic root of 87103008 is about 443.2795718754.

The spelling of 87103008 in words is "eighty-seven million, one hundred three thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 10429 20858 31287 41716 62574 83432 93861 125148 166864 187722 250296 302441 333728 375444 500592 604882 750888 907323 1001184 1209764 1501776 1814646 2419528 2721969 3003552 3629292 4839056 5443938 7258584 9678112 10887876 14517168 21775752 29034336 43551504 87103008