Search a number
-
+
2100012 = 2231391259
BaseRepresentation
bin1000000000101100101100
310221200200020
420000230230
51014200022
6113002140
723564325
oct10005454
93850606
102100012
111204852
12853350
13586b15
143c944c
152b735c
hex200b2c

2100012 has 24 divisors (see below), whose sum is σ = 4939200. Its totient is φ = 694416.

The previous prime is 2100011. The next prime is 2100031.

It is a happy number.

2100012 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (2100011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1039 + ... + 2297.

It is an arithmetic number, because the mean of its divisors is an integer number (205800).

22100012 is an apocalyptic number.

It is an amenable number.

2100012 is an abundant number, since it is smaller than the sum of its proper divisors (2839188).

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

2100012 is a wasteful number, since it uses less digits than its factorization.

2100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2100012 is about 1449.1418150064. The cubic root of 2100012 is about 128.0581604181.

It can be divided in two parts, 21000 and 12, that added together give a palindrome (21012).

The spelling of 2100012 in words is "two million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 12 139 278 417 556 834 1259 1668 2518 3777 5036 7554 15108 175001 350002 525003 700004 1050006 2100012