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27114906 = 2371353937
BaseRepresentation
bin110011101101…
…1110110011010
31220000120122210
41213123312122
523420134111
62405055550
7446321130
oct147336632
956016583
1027114906
111433a915
1290b75b6
135804a30
14385b750
1525a90a6
hex19dbd9a

27114906 has 64 divisors (see below), whose sum is σ = 68076288. Its totient is φ = 7008768.

The previous prime is 27114889. The next prime is 27114917. The reversal of 27114906 is 60941172.

It is a happy number.

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, 28470 + ... + 29406.

It is an arithmetic number, because the mean of its divisors is an integer number (1063692).

Almost surely, 227114906 is an apocalyptic number.

27114906 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 27114906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34038144).

27114906 is an abundant number, since it is smaller than the sum of its proper divisors (40961382).

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

27114906 is a wasteful number, since it uses less digits than its factorization.

27114906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 27114906 is about 5207.1975188195. The cubic root of 27114906 is about 300.4249754796.

Adding to 27114906 its product of nonzero digits (3024), we get a triangular number (27117930 = T7364).

The spelling of 27114906 in words is "twenty-seven million, one hundred fourteen thousand, nine hundred six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 53 78 91 106 159 182 273 318 371 546 689 742 937 1113 1378 1874 2067 2226 2811 4134 4823 5622 6559 9646 12181 13118 14469 19677 24362 28938 36543 39354 49661 73086 85267 99322 148983 170534 255801 297966 347627 511602 645593 695254 1042881 1291186 1936779 2085762 3873558 4519151 9038302 13557453 27114906