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2120004 = 223258889
BaseRepresentation
bin1000000101100101000100
310222201002200
420011211010
51020320004
6113234500
724006525
oct10054504
93881080
102120004
111218877
12862a30
13592c53
143d284c
152bd239
hex205944

2120004 has 18 divisors (see below), whose sum is σ = 5358990. Its totient is φ = 706656.

The previous prime is 2119969. The next prime is 2120009. The reversal of 2120004 is 4000212.

It can be written as a sum of positive squares in only one way, i.e., 1557504 + 562500 = 1248^2 + 750^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2120009) 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 5 ways as a sum of consecutive naturals, for example, 29409 + ... + 29480.

22120004 is an apocalyptic number.

It is an amenable number.

2120004 is an abundant number, since it is smaller than the sum of its proper divisors (3238986).

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

2120004 is a wasteful number, since it uses less digits than its factorization.

2120004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58899 (or 58894 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2120004 is about 1456.0233514611. The cubic root of 2120004 is about 128.4632465656.

Adding to 2120004 its reverse (4000212), we get a palindrome (6120216).

The spelling of 2120004 in words is "two million, one hundred twenty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 58889 117778 176667 235556 353334 530001 706668 1060002 2120004