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2014104 = 23383921
BaseRepresentation
bin111101011101110011000
310210022211110
413223232120
51003422404
6111100320
723056011
oct7535630
93708743
102014104
111156254
128116a0
135569a1
143a6008
1529bb89
hex1ebb98

2014104 has 16 divisors (see below), whose sum is σ = 5035320. Its totient is φ = 671360.

The previous prime is 2014099. The next prime is 2014121. The reversal of 2014104 is 4014102.

It is a super-3 number, since 3×20141043 = 24511333027510190592, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 2014104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41937 + ... + 41984.

22014104 is an apocalyptic number.

2014104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2014104 is an abundant number, since it is smaller than the sum of its proper divisors (3021216).

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

2014104 is a wasteful number, since it uses less digits than its factorization.

2014104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83930 (or 83926 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2014104 is about 1419.1913190264. The cubic root of 2014104 is about 126.2875769595.

Adding to 2014104 its reverse (4014102), we get a palindrome (6028206).

The spelling of 2014104 in words is "two million, fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 83921 167842 251763 335684 503526 671368 1007052 2014104