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27661074 = 23717192039
BaseRepresentation
bin110100110000…
…1001100010010
31221001022212020
41221201030102
524040123244
62424512310
7454054350
oct151411422
957038766
1027661074
11146831a1
12931b696
1359664cc
1439607d0
152665d19
hex1a61312

27661074 has 64 divisors (see below), whose sum is σ = 70502400. Its totient is φ = 7043328.

The previous prime is 27661069. The next prime is 27661129. The reversal of 27661074 is 47016672.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12547 + ... + 14585.

It is an arithmetic number, because the mean of its divisors is an integer number (1101600).

Almost surely, 227661074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27661074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35251200).

27661074 is an abundant number, since it is smaller than the sum of its proper divisors (42841326).

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

27661074 is a wasteful number, since it uses less digits than its factorization.

27661074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087.

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 27661074 is about 5259.3796212101. The cubic root of 27661074 is about 302.4287071023.

The spelling of 27661074 in words is "twenty-seven million, six hundred sixty-one thousand, seventy-four".

Divisors: 1 2 3 6 7 14 17 19 21 34 38 42 51 57 102 114 119 133 238 266 323 357 399 646 714 798 969 1938 2039 2261 4078 4522 6117 6783 12234 13566 14273 28546 34663 38741 42819 69326 77482 85638 103989 116223 207978 232446 242641 271187 485282 542374 658597 727923 813561 1317194 1455846 1627122 1975791 3951582 4610179 9220358 13830537 27661074