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87104688 = 24311199829
BaseRepresentation
bin1010011000100…
…01110010110000
320001220101011120
411030101302300
5134244322223
612350542240
72105243346
oct514216260
9201811146
1087104688
1145194050
1225207980
131507a148
14b7d5996
1579a8be3
hex5311cb0

87104688 has 80 divisors (see below), whose sum is σ = 247008000. Its totient is φ = 26231040.

The previous prime is 87104681. The next prime is 87104707. The reversal of 87104688 is 88640178.

It is not an unprimeable number, because it can be changed into a prime (87104681) 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 15 ways as a sum of consecutive naturals, for example, 104658 + ... + 105486.

It is an arithmetic number, because the mean of its divisors is an integer number (3087600).

Almost surely, 287104688 is an apocalyptic number.

87104688 is a gapful number since it is divisible by the number (88) 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 87104688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123504000).

87104688 is an abundant number, since it is smaller than the sum of its proper divisors (159903312).

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

87104688 is a wasteful number, since it uses less digits than its factorization.

87104688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 87104688 is about 9332.9892317521. The cubic root of 87104688 is about 443.2824217766.

The spelling of 87104688 in words is "eighty-seven million, one hundred four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 199 264 398 528 597 796 829 1194 1592 1658 2189 2388 2487 3184 3316 4378 4776 4974 6567 6632 8756 9119 9552 9948 13134 13264 17512 18238 19896 26268 27357 35024 36476 39792 52536 54714 72952 105072 109428 145904 164971 218856 329942 437712 494913 659884 989826 1319768 1814681 1979652 2639536 3629362 3959304 5444043 7258724 7918608 10888086 14517448 21776172 29034896 43552344 87104688