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2014024 = 231759251
BaseRepresentation
bin111101011101101001000
310210022201111
413223231020
51003422044
6111100104
723055535
oct7535510
93708644
102014024
111156191
12811634
1355693c
143a5d8c
1529bb34
hex1ebb48

2014024 has 32 divisors (see below), whose sum is σ = 4082400. Its totient is φ = 928000.

The previous prime is 2014013. The next prime is 2014027. The reversal of 2014024 is 4204102.

It is a junction number, because it is equal to n+sod(n) for n = 2013995 and 2014013.

It is not an unprimeable number, because it can be changed into a prime (2014027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7899 + ... + 8149.

It is an arithmetic number, because the mean of its divisors is an integer number (127575).

22014024 is an apocalyptic number.

It is an amenable number.

2014024 is an abundant number, since it is smaller than the sum of its proper divisors (2068376).

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

2014024 is a wasteful number, since it uses less digits than its factorization.

2014024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2014024 is about 1419.1631336813. The cubic root of 2014024 is about 126.2859048942.

Adding to 2014024 its reverse (4204102), we get a palindrome (6218126).

It can be divided in two parts, 20140 and 24, that added together give a square (20164 = 1422).

The spelling of 2014024 in words is "two million, fourteen thousand, twenty-four".

Divisors: 1 2 4 8 17 34 59 68 118 136 236 251 472 502 1003 1004 2006 2008 4012 4267 8024 8534 14809 17068 29618 34136 59236 118472 251753 503506 1007012 2014024