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27019080 = 23325116823
BaseRepresentation
bin110011100010…
…0011101001000
31212211201012200
41213010131020
523404102310
62403040200
7445441554
oct147043510
955751180
1027019080
1114284920
129070060
1357a022a
143834864
15258a9c0
hex19c4748

27019080 has 96 divisors (see below), whose sum is σ = 95808960. Its totient is φ = 6549120.

The previous prime is 27019067. The next prime is 27019087. The reversal of 27019080 is 8091072.

It is not an unprimeable number, because it can be changed into a prime (27019087) 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 23 ways as a sum of consecutive naturals, for example, 549 + ... + 7371.

It is an arithmetic number, because the mean of its divisors is an integer number (998010).

Almost surely, 227019080 is an apocalyptic number.

27019080 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 27019080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47904480).

27019080 is an abundant number, since it is smaller than the sum of its proper divisors (68789880).

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

27019080 is a wasteful number, since it uses less digits than its factorization.

27019080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6851 (or 6844 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 27019080 is about 5197.9880723218. The cubic root of 27019080 is about 300.0706500273.

It can be divided in two parts, 2701 and 9080, that added together give a triangular number (11781 = T153).

The spelling of 27019080 in words is "twenty-seven million, nineteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 6823 13646 20469 27292 34115 40938 54584 61407 68230 75053 81876 102345 122814 136460 150106 163752 204690 225159 245628 272920 300212 307035 375265 409380 450318 491256 600424 614070 675477 750530 818760 900636 1125795 1228140 1350954 1501060 1801272 2251590 2456280 2701908 3002120 3377385 4503180 5403816 6754770 9006360 13509540 27019080