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39114 = 2324153
BaseRepresentation
bin1001100011001010
31222122200
421203022
52222424
6501030
7222015
oct114312
958580
1039114
1127429
121a776
1314a5a
141037c
15b8c9
hex98ca

39114 has 24 divisors (see below), whose sum is σ = 88452. Its totient is φ = 12480.

The previous prime is 39113. The next prime is 39119. The reversal of 39114 is 41193.

It can be written as a sum of positive squares in 2 ways, for example, as 38025 + 1089 = 195^2 + 33^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (39113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 712 + ... + 764.

239114 is an apocalyptic number.

39114 is an abundant number, since it is smaller than the sum of its proper divisors (49338).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44226).

39114 is a wasteful number, since it uses less digits than its factorization.

39114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 99 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 39114 is about 197.7725966862. The cubic root of 39114 is about 33.9451248600.

It can be divided in two parts, 39 and 114, that added together give a triangular number (153 = T17).

The spelling of 39114 in words is "thirty-nine thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 41 53 82 106 123 159 246 318 369 477 738 954 2173 4346 6519 13038 19557 39114