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27684096 = 2831129113
BaseRepresentation
bin110100110011…
…0110100000000
31221002111102220
41221212310000
524041342341
62425211040
7454211436
oct151466400
957074386
1027684096
1114699520
129330a80
135973b2b
143968d56
15266ca66
hex1a66d00

27684096 has 144 divisors (see below), whose sum is σ = 83885760. Its totient is φ = 8028160.

The previous prime is 27684089. The next prime is 27684119. The reversal of 27684096 is 69048672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244936 + ... + 245048.

It is an arithmetic number, because the mean of its divisors is an integer number (582540).

Almost surely, 227684096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27684096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41942880).

27684096 is an abundant number, since it is smaller than the sum of its proper divisors (56201664).

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

27684096 is a wasteful number, since it uses less digits than its factorization.

27684096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 27684096 is about 5261.5678271785. The cubic root of 27684096 is about 302.5125865036.

The spelling of 27684096 in words is "twenty-seven million, six hundred eighty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 64 66 87 88 96 113 116 128 132 174 176 192 226 232 256 264 319 339 348 352 384 452 464 528 638 678 696 704 768 904 928 957 1056 1243 1276 1356 1392 1408 1808 1856 1914 2112 2486 2552 2712 2784 2816 3277 3616 3712 3729 3828 4224 4972 5104 5424 5568 6554 7232 7424 7458 7656 8448 9831 9944 10208 10848 11136 13108 14464 14916 15312 19662 19888 20416 21696 22272 26216 28928 29832 30624 36047 39324 39776 40832 43392 52432 59664 61248 72094 78648 79552 81664 86784 104864 108141 119328 122496 144188 157296 159104 209728 216282 238656 244992 288376 314592 318208 419456 432564 477312 576752 629184 838912 865128 954624 1153504 1258368 1730256 2307008 2516736 3460512 4614016 6921024 9228032 13842048 27684096