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27256240 = 2451147659
BaseRepresentation
bin110011111111…
…0010110110000
31220021202112101
41213332112300
523434144430
62412110144
7450450154
oct147762660
956252471
1027256240
1114427020
129165354
13585416b
143897064
1525d5dca
hex19fe5b0

27256240 has 80 divisors (see below), whose sum is σ = 70709760. Its totient is φ = 9685760.

The previous prime is 27256231. The next prime is 27256249. The reversal of 27256240 is 4265272.

It is an interprime number because it is at equal distance from previous prime (27256231) and next prime (27256249).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 27256199 and 27256208.

It is not an unprimeable number, because it can be changed into a prime (27256249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41031 + ... + 41689.

It is an arithmetic number, because the mean of its divisors is an integer number (883872).

Almost surely, 227256240 is an apocalyptic number.

27256240 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 27256240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35354880).

27256240 is an abundant number, since it is smaller than the sum of its proper divisors (43453520).

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

27256240 is a wasteful number, since it uses less digits than its factorization.

27256240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 27256240 is about 5220.7509038452. The cubic root of 27256240 is about 300.9460505290.

The spelling of 27256240 in words is "twenty-seven million, two hundred fifty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 47 55 80 88 94 110 176 188 220 235 376 440 470 517 659 752 880 940 1034 1318 1880 2068 2585 2636 3295 3760 4136 5170 5272 6590 7249 8272 10340 10544 13180 14498 20680 26360 28996 30973 36245 41360 52720 57992 61946 72490 115984 123892 144980 154865 247784 289960 309730 340703 495568 579920 619460 681406 1238920 1362812 1703515 2477840 2725624 3407030 5451248 6814060 13628120 27256240