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27104896 = 277132179
BaseRepresentation
bin110011101100…
…1011010000000
31220000001221001
41213121122000
523414324041
62404541344
7446250010
oct147313200
956001831
1027104896
1114333345
1290b1854
135800300
143857c40
1525a6131
hex19d9680

27104896 has 96 divisors (see below), whose sum is σ = 67197600. Its totient is φ = 10662912.

The previous prime is 27104893. The next prime is 27104927. The reversal of 27104896 is 69840172.

It is not an unprimeable number, because it can be changed into a prime (27104893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151335 + ... + 151513.

It is an arithmetic number, because the mean of its divisors is an integer number (699975).

Almost surely, 227104896 is an apocalyptic number.

27104896 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 27104896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33598800).

27104896 is an abundant number, since it is smaller than the sum of its proper divisors (40092704).

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

27104896 is a wasteful number, since it uses less digits than its factorization.

27104896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 27104896 is about 5206.2362604861. The cubic root of 27104896 is about 300.3880016697.

It can be divided in two parts, 27104 and 896, that multiplied together give a square (24285184 = 49282).

The spelling of 27104896 in words is "twenty-seven million, one hundred four thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 169 179 182 208 224 338 358 364 416 448 676 716 728 832 896 1183 1253 1352 1432 1456 1664 2327 2366 2506 2704 2864 2912 4654 4732 5012 5408 5728 5824 9308 9464 10024 10816 11456 11648 16289 18616 18928 20048 21632 22912 30251 32578 37232 37856 40096 60502 65156 74464 75712 80192 121004 130312 148928 151424 160384 211757 242008 260624 297856 423514 484016 521248 847028 968032 1042496 1694056 1936064 2084992 3388112 3872128 6776224 13552448 27104896