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27005076 = 223973
BaseRepresentation
bin110011100000…
…1000010010100
31212211000000000
41213001002110
523403130301
62402451300
7445353000
oct147010224
955730000
1027005076
111427534a
129063b30
135796a47
14382d700
152586786
hex19c1094

27005076 has 120 divisors (see below), whose sum is σ = 82667200. Its totient is φ = 7715736.

The previous prime is 27005053. The next prime is 27005089. The reversal of 27005076 is 67050072.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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 39 ways as a sum of consecutive naturals, for example, 3857865 + ... + 3857871.

Almost surely, 227005076 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 27005076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41333600).

27005076 is an abundant number, since it is smaller than the sum of its proper divisors (55662124).

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

27005076 is an frugal number, since it uses more digits than its factorization.

27005076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 27005076 is about 5196.6408380799. The cubic root of 27005076 is about 300.0187988220.

It can be divided in two parts, 2700 and 5076, that added together give a 5-th power (7776 = 65).

The spelling of 27005076 in words is "twenty-seven million, five thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 243 252 294 324 343 378 441 486 567 588 686 729 756 882 972 1029 1134 1323 1372 1458 1701 1764 2058 2187 2268 2646 2916 3087 3402 3969 4116 4374 5103 5292 6174 6561 6804 7938 8748 9261 10206 11907 12348 13122 15309 15876 18522 19683 20412 23814 26244 27783 30618 35721 37044 39366 45927 47628 55566 61236 71442 78732 83349 91854 107163 111132 137781 142884 166698 183708 214326 250047 275562 321489 333396 428652 500094 551124 642978 750141 964467 1000188 1285956 1500282 1928934 2250423 3000564 3857868 4500846 6751269 9001692 13502538 27005076