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2014008 = 233312707
BaseRepresentation
bin111101011101100111000
310210022200220
413223230320
51003422013
6111100040
723055513
oct7535470
93708626
102014008
111156177
12811620
13556929
143a5d7a
1529bb23
hex1ebb38

2014008 has 32 divisors (see below), whose sum is σ = 5199360. Its totient is φ = 649440.

The previous prime is 2013989. The next prime is 2014009. The reversal of 2014008 is 8004102.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 610 + ... + 2097.

It is an arithmetic number, because the mean of its divisors is an integer number (162480).

22014008 is an apocalyptic number.

It is an amenable number.

2014008 is an abundant number, since it is smaller than the sum of its proper divisors (3185352).

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

2014008 is a wasteful number, since it uses less digits than its factorization.

2014008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747 (or 2743 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2014008 is about 1419.1574965450. The cubic root of 2014008 is about 126.2855704759.

It can be divided in two parts, 20 and 14008, that added together give a triangular number (14028 = T167).

The spelling of 2014008 in words is "two million, fourteen thousand, eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 2707 5414 8121 10828 16242 21656 32484 64968 83917 167834 251751 335668 503502 671336 1007004 2014008