Search a number
-
+
2000504 = 2311127179
BaseRepresentation
bin111101000011001111000
310202122011202
413220121320
51003004004
6110513332
723001242
oct7503170
93678152
102000504
111147010
12805848
1355073c
143a1092
15297b1e
hex1e8678

2000504 has 32 divisors (see below), whose sum is σ = 4147200. Its totient is φ = 897120.

The previous prime is 2000503. The next prime is 2000519. The reversal of 2000504 is 4050002.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11087 + ... + 11265.

It is an arithmetic number, because the mean of its divisors is an integer number (129600).

22000504 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 2000504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073600).

2000504 is an abundant number, since it is smaller than the sum of its proper divisors (2146696).

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

2000504 is a wasteful number, since it uses less digits than its factorization.

2000504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 2000504 is about 1414.3917420573. The cubic root of 2000504 is about 126.0026874374.

Adding to 2000504 its reverse (4050002), we get a palindrome (6050506).

The spelling of 2000504 in words is "two million, five hundred four", and thus it is an aban number.

Divisors: 1 2 4 8 11 22 44 88 127 179 254 358 508 716 1016 1397 1432 1969 2794 3938 5588 7876 11176 15752 22733 45466 90932 181864 250063 500126 1000252 2000504