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2014032 = 24341959
BaseRepresentation
bin111101011101101010000
310210022201210
413223231100
51003422112
6111100120
723055546
oct7535520
93708653
102014032
111156199
12811640
13556947
143a5d96
1529bb3c
hex1ebb50

2014032 has 20 divisors (see below), whose sum is σ = 5203040. Its totient is φ = 671328.

The previous prime is 2014031. The next prime is 2014049. The reversal of 2014032 is 2304102.

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

It is a junction number, because it is equal to n+sod(n) for n = 2013999 and 2014017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20932 + ... + 21027.

It is an arithmetic number, because the mean of its divisors is an integer number (260152).

22014032 is an apocalyptic number.

It is an amenable number.

2014032 is an abundant number, since it is smaller than the sum of its proper divisors (3189008).

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

2014032 is a wasteful number, since it uses less digits than its factorization.

2014032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41970 (or 41964 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2014032 is about 1419.1659522410. The cubic root of 2014032 is about 126.2860721027.

Adding to 2014032 its reverse (2304102), we get a palindrome (4318134).

The spelling of 2014032 in words is "two million, fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 41959 83918 125877 167836 251754 335672 503508 671344 1007016 2014032