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27187056 = 24331347103
BaseRepresentation
bin110011110110…
…1011101110000
31220011020122000
41213231131300
523424441211
62410414000
7450041361
oct147553560
956136560
1027187056
111438a046
129131300
13582b820
143879b68
1525c0656
hex19ed770

27187056 has 160 divisors (see below), whose sum is σ = 86661120. Its totient is φ = 8107776.

The previous prime is 27187033. The next prime is 27187067. The reversal of 27187056 is 65078172.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 27187056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263901 + ... + 264003.

It is an arithmetic number, because the mean of its divisors is an integer number (541632).

Almost surely, 227187056 is an apocalyptic number.

27187056 is a gapful number since it is divisible by the number (26) 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 27187056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43330560).

27187056 is an abundant number, since it is smaller than the sum of its proper divisors (59474064).

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

27187056 is a wasteful number, since it uses less digits than its factorization.

27187056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 27187056 is about 5214.1208271386. The cubic root of 27187056 is about 300.6912062234.

The spelling of 27187056 in words is "twenty-seven million, one hundred eighty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 47 48 52 54 72 78 94 103 104 108 117 141 144 156 188 206 208 216 234 282 309 312 351 376 412 423 432 468 564 611 618 624 702 752 824 846 927 936 1128 1222 1236 1269 1339 1404 1648 1692 1833 1854 1872 2256 2444 2472 2538 2678 2781 2808 3384 3666 3708 4017 4841 4888 4944 5076 5356 5499 5562 5616 6768 7332 7416 8034 9682 9776 10152 10712 10998 11124 12051 14523 14664 14832 16068 16497 19364 20304 21424 21996 22248 24102 29046 29328 32136 32994 36153 38728 43569 43992 44496 48204 58092 62933 64272 65988 72306 77456 87138 87984 96408 116184 125866 130707 131976 144612 174276 188799 192816 232368 251732 261414 263952 289224 348552 377598 503464 522828 566397 578448 697104 755196 1006928 1045656 1132794 1510392 1699191 2091312 2265588 3020784 3398382 4531176 6796764 9062352 13593528 27187056