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27139360 = 255295849
BaseRepresentation
bin110011110000…
…1110100100000
31220001211012111
41213201310200
523421424420
62405405104
7446452333
oct147416440
956054174
1027139360
1114357226
129109794
135812bc1
14386661a
1525b145a
hex19e1d20

27139360 has 48 divisors (see below), whose sum is σ = 66339000. Its totient is φ = 10479616.

The previous prime is 27139313. The next prime is 27139369. The reversal of 27139360 is 6393172.

It can be written as a sum of positive squares in 4 ways, for example, as 20106256 + 7033104 = 4484^2 + 2652^2 .

It is a super-2 number, since 2×271393602 = 1473089722419200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27139369) 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 7 ways as a sum of consecutive naturals, for example, 1716 + ... + 7564.

Almost surely, 227139360 is an apocalyptic number.

27139360 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 27139360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33169500).

27139360 is an abundant number, since it is smaller than the sum of its proper divisors (39199640).

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

27139360 is a wasteful number, since it uses less digits than its factorization.

27139360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5893 (or 5885 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 31.

The square root of 27139360 is about 5209.5450857057. The cubic root of 27139360 is about 300.5152626561.

The spelling of 27139360 in words is "twenty-seven million, one hundred thirty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 5849 11698 23396 29245 46792 58490 93584 116980 169621 187168 233960 339242 467920 678484 848105 935840 1356968 1696210 2713936 3392420 5427872 6784840 13569680 27139360