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2660004 = 2232371997
BaseRepresentation
bin1010001001011010100100
312000010211200
422021122210
51140110004
6133002500
731416054
oct12113244
95003750
102660004
111557556
12a83430
13721989
144d3564
15378239
hex2896a4

2660004 has 36 divisors (see below), whose sum is σ = 6909084. Its totient is φ = 862272.

The previous prime is 2660003. The next prime is 2660011. The reversal of 2660004 is 4000662.

2660004 is a `hidden beast` number, since 2 + 660 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1102500 + 1557504 = 1050^2 + 1248^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2660003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 334 + ... + 2330.

It is an arithmetic number, because the mean of its divisors is an integer number (191919).

22660004 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 2660004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3454542).

2660004 is an abundant number, since it is smaller than the sum of its proper divisors (4249080).

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

2660004 is a wasteful number, since it uses less digits than its factorization.

2660004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2660004 is about 1630.9518693082. The cubic root of 2660004 is about 138.5566676755.

Adding to 2660004 its reverse (4000662), we get a palindrome (6660666).

The spelling of 2660004 in words is "two million, six hundred sixty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1997 3994 5991 7988 11982 17973 23964 35946 71892 73889 147778 221667 295556 443334 665001 886668 1330002 2660004