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27380220 = 22357267139
BaseRepresentation
bin110100001110…
…0100111111100
31220112001121020
41220130213330
524002131340
62414504140
7451504500
oct150344774
956461536
1027380220
111450118a
129205050
13589871a
1438ca300
15260c9d0
hex1a1c9fc

27380220 has 144 divisors (see below), whose sum is σ = 91163520. Its totient is φ = 6120576.

The previous prime is 27380219. The next prime is 27380231. The reversal of 27380220 is 2208372.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196911 + ... + 197049.

It is an arithmetic number, because the mean of its divisors is an integer number (633080).

Almost surely, 227380220 is an apocalyptic number.

27380220 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 27380220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45581760).

27380220 is an abundant number, since it is smaller than the sum of its proper divisors (63783300).

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

27380220 is a wasteful number, since it uses less digits than its factorization.

27380220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 27380220 is about 5232.6112028317. The cubic root of 27380220 is about 301.4016631576.

Adding to 27380220 its reverse (2208372), we get a palindrome (29588592).

The spelling of 27380220 in words is "twenty-seven million, three hundred eighty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 67 70 84 98 105 134 139 140 147 196 201 210 245 268 278 294 335 402 417 420 469 490 556 588 670 695 735 804 834 938 973 980 1005 1340 1390 1407 1470 1668 1876 1946 2010 2085 2345 2780 2814 2919 2940 3283 3892 4020 4170 4690 4865 5628 5838 6566 6811 7035 8340 9313 9380 9730 9849 11676 13132 13622 14070 14595 16415 18626 19460 19698 20433 27244 27939 28140 29190 32830 34055 37252 39396 40866 46565 49245 55878 58380 65191 65660 68110 81732 93130 98490 102165 111756 130382 136220 139695 186260 195573 196980 204330 260764 279390 325955 391146 408660 456337 558780 651910 782292 912674 977865 1303820 1369011 1825348 1955730 2281685 2738022 3911460 4563370 5476044 6845055 9126740 13690110 27380220