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27985080 = 23351012309
BaseRepresentation
bin110101011000…
…0010010111000
31221122210022110
41222300102320
524131010310
62435452320
7456604104
oct152602270
957583273
1027985080
1114884672
1294570a0
135a4ab26
143a06904
1526cbd20
hex1ab04b8

27985080 has 64 divisors (see below), whose sum is σ = 84823200. Its totient is φ = 7385600.

The previous prime is 27985063. The next prime is 27985091. The reversal of 27985080 is 8058972.

It is a congruent number.

It is an unprimeable number.

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, 10966 + ... + 13274.

Almost surely, 227985080 is an apocalyptic number.

27985080 is a gapful number since it is divisible by the number (20) 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 27985080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42411600).

27985080 is an abundant number, since it is smaller than the sum of its proper divisors (56838120).

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

27985080 is a wasteful number, since it uses less digits than its factorization.

27985080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 27985080 is about 5290.0926267883. The cubic root of 27985080 is about 303.6049520006.

The spelling of 27985080 in words is "twenty-seven million, nine hundred eighty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 404 505 606 808 1010 1212 1515 2020 2309 2424 3030 4040 4618 6060 6927 9236 11545 12120 13854 18472 23090 27708 34635 46180 55416 69270 92360 138540 233209 277080 466418 699627 932836 1166045 1399254 1865672 2332090 2798508 3498135 4664180 5597016 6996270 9328360 13992540 27985080