Search a number
-
+
2001040 = 24525013
BaseRepresentation
bin111101000100010010000
310202122220121
413220202100
51003013130
6110520024
723002636
oct7504220
93678817
102001040
111147458
12806014
13550a62
143a1356
15297d7a
hex1e8890

2001040 has 20 divisors (see below), whose sum is σ = 4652604. Its totient is φ = 800384.

The previous prime is 2001037. The next prime is 2001049. The reversal of 2001040 is 401002.

It can be written as a sum of positive squares in 2 ways, for example, as 1527696 + 473344 = 1236^2 + 688^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×20010402 = 8008322163200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2001049) 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, 12427 + ... + 12586.

22001040 is an apocalyptic number.

2001040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001040 is an abundant number, since it is smaller than the sum of its proper divisors (2651564).

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

2001040 is a wasteful number, since it uses less digits than its factorization.

2001040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25026 (or 25020 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 2001040 is about 1414.5812101113. The cubic root of 2001040 is about 126.0139398367.

Adding to 2001040 its reverse (401002), we get a palindrome (2402042).

The spelling of 2001040 in words is "two million, one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 25013 50026 100052 125065 200104 250130 400208 500260 1000520 2001040