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27113940 = 223557797
BaseRepresentation
bin110011101101…
…1100111010100
31220000112100000
41213123213110
523420121230
62405051300
7446315250
oct147334724
956015300
1027113940
111433a117
1290b6b30
135804469
14385b260
1525a8b60
hex19db9d4

27113940 has 144 divisors (see below), whose sum is σ = 97598592. Its totient is φ = 6189696.

The previous prime is 27113923. The next prime is 27114023. The reversal of 27113940 is 4931172.

27113940 is a `hidden beast` number, since 271 + 1 + 394 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 33622 + ... + 34418.

It is an arithmetic number, because the mean of its divisors is an integer number (677768).

Almost surely, 227113940 is an apocalyptic number.

27113940 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 27113940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48799296).

27113940 is an abundant number, since it is smaller than the sum of its proper divisors (70484652).

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

27113940 is a wasteful number, since it uses less digits than its factorization.

27113940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 27113940 is about 5207.1047617654. The cubic root of 27113940 is about 300.4214077745.

The spelling of 27113940 in words is "twenty-seven million, one hundred thirteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 378 405 420 486 540 567 630 756 797 810 945 972 1134 1215 1260 1594 1620 1701 1890 2268 2391 2430 2835 3188 3402 3780 3985 4782 4860 5579 5670 6804 7173 7970 8505 9564 11158 11340 11955 14346 15940 16737 17010 21519 22316 23910 27895 28692 33474 34020 35865 43038 47820 50211 55790 64557 66948 71730 83685 86076 100422 107595 111580 129114 143460 150633 167370 193671 200844 215190 251055 258228 301266 322785 334740 387342 430380 451899 502110 602532 645570 753165 774684 903798 968355 1004220 1291140 1355697 1506330 1807596 1936710 2259495 2711394 3012660 3873420 4518990 5422788 6778485 9037980 13556970 27113940