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27136780 = 225112331173
BaseRepresentation
bin110011110000…
…1001100001100
31220001200122221
41213201030030
523421334110
62405345124
7446441656
oct147411414
956050587
1027136780
11143552a0
1291081a4
135811988
1438656d6
1525b07da
hex19e130c

27136780 has 96 divisors (see below), whose sum is σ = 67350528. Its totient is φ = 9081600.

The previous prime is 27136771. The next prime is 27136789. The reversal of 27136780 is 8763172.

It is an interprime number because it is at equal distance from previous prime (27136771) and next prime (27136789).

It is not an unprimeable number, because it can be changed into a prime (27136789) 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 31 ways as a sum of consecutive naturals, for example, 156774 + ... + 156946.

It is an arithmetic number, because the mean of its divisors is an integer number (701568).

Almost surely, 227136780 is an apocalyptic number.

27136780 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 27136780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33675264).

27136780 is an abundant number, since it is smaller than the sum of its proper divisors (40213748).

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

27136780 is a wasteful number, since it uses less digits than its factorization.

27136780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 27136780 is about 5209.2974574313. The cubic root of 27136780 is about 300.5057395386.

The spelling of 27136780 in words is "twenty-seven million, one hundred thirty-six thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 23 31 44 46 55 62 92 110 115 124 155 173 220 230 253 310 341 346 460 506 620 682 692 713 865 1012 1265 1364 1426 1705 1730 1903 2530 2852 3410 3460 3565 3806 3979 5060 5363 6820 7130 7612 7843 7958 9515 10726 14260 15686 15916 19030 19895 21452 26815 31372 38060 39215 39790 43769 53630 58993 78430 79580 87538 107260 117986 123349 156860 175076 218845 235972 246698 294965 437690 493396 589930 616745 875380 1179860 1233490 1356839 2466980 2713678 5427356 6784195 13568390 27136780