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27660084 = 22329611303
BaseRepresentation
bin110100110000…
…0111100110100
31221001021111120
41221200330310
524040110314
62424503540
7454051434
oct151407464
957037446
1027660084
1114682481
12931abb0
135965c1a
1439602c4
1526658a9
hex1a60f34

27660084 has 48 divisors (see below), whose sum is σ = 67912320. Its totient is φ = 8749440.

The previous prime is 27660019. The next prime is 27660097. The reversal of 27660084 is 48006672.

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, 20577 + ... + 21879.

It is an arithmetic number, because the mean of its divisors is an integer number (1414840).

Almost surely, 227660084 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 27660084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33956160).

27660084 is an abundant number, since it is smaller than the sum of its proper divisors (40252236).

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

27660084 is a wasteful number, since it uses less digits than its factorization.

27660084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 27660084 is about 5259.2855028036. The cubic root of 27660084 is about 302.4250990477.

The spelling of 27660084 in words is "twenty-seven million, six hundred sixty thousand, eighty-four".

Divisors: 1 2 3 4 6 12 29 58 61 87 116 122 174 183 244 348 366 732 1303 1769 2606 3538 3909 5212 5307 7076 7818 10614 15636 21228 37787 75574 79483 113361 151148 158966 226722 238449 317932 453444 476898 953796 2305007 4610014 6915021 9220028 13830042 27660084