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2014002 = 232412729
BaseRepresentation
bin111101011101100110010
310210022200200
413223230302
51003422002
6111100030
723055504
oct7535462
93708620
102014002
111156171
12811616
13556923
143a5d74
1529bb1c
hex1ebb32

2014002 has 24 divisors (see below), whose sum is σ = 4471740. Its totient is φ = 654720.

The previous prime is 2013989. The next prime is 2014009. The reversal of 2014002 is 2004102.

It can be written as a sum of positive squares in 2 ways, for example, as 2013561 + 441 = 1419^2 + 21^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2014009) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 627 + ... + 2102.

22014002 is an apocalyptic number.

2014002 is an abundant number, since it is smaller than the sum of its proper divisors (2457738).

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

2014002 is a wasteful number, since it uses less digits than its factorization.

2014002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2014002 is about 1419.1553826132. The cubic root of 2014002 is about 126.2854450685.

Adding to 2014002 its reverse (2004102), we get a palindrome (4018104).

The spelling of 2014002 in words is "two million, fourteen thousand, two".

Divisors: 1 2 3 6 9 18 41 82 123 246 369 738 2729 5458 8187 16374 24561 49122 111889 223778 335667 671334 1007001 2014002