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2014912 = 26191657
BaseRepresentation
bin111101011111011000000
310210100221101
413223323000
51003434122
6111104144
723061244
oct7537300
93710841
102014912
111156919
12812054
13557173
143a6424
1529c027
hex1ebec0

2014912 has 28 divisors (see below), whose sum is σ = 4211320. Its totient is φ = 953856.

The previous prime is 2014897. The next prime is 2014919. The reversal of 2014912 is 2194102.

2014912 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 2014912.

It is not an unprimeable number, because it can be changed into a prime (2014919) 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, 388 + ... + 2044.

22014912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2014912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105660).

2014912 is an abundant number, since it is smaller than the sum of its proper divisors (2196408).

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

2014912 is a wasteful number, since it uses less digits than its factorization.

2014912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 2014912 is about 1419.4759596414. The cubic root of 2014912 is about 126.3044623371.

It can be divided in two parts, 2014 and 912, that added together give a triangular number (2926 = T76).

The spelling of 2014912 in words is "two million, fourteen thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 608 1216 1657 3314 6628 13256 26512 31483 53024 62966 106048 125932 251864 503728 1007456 2014912