Search a number
-
+
2005506 = 23337139
BaseRepresentation
bin111101001101000000010
310202220001000
413221220002
51003134011
6110552430
723021646
oct7515002
93686030
102005506
11114a848
12808716
13552ab9
143a2c26
15299356
hex1e9a02

2005506 has 16 divisors (see below), whose sum is σ = 4456800. Its totient is φ = 668484.

The previous prime is 2005499. The next prime is 2005519. The reversal of 2005506 is 6055002.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18516 + ... + 18623.

It is an arithmetic number, because the mean of its divisors is an integer number (278550).

22005506 is an apocalyptic number.

2005506 is an abundant number, since it is smaller than the sum of its proper divisors (2451294).

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

2005506 is a wasteful number, since it uses less digits than its factorization.

2005506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37150 (or 37144 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2005506 is about 1416.1588893906. The cubic root of 2005506 is about 126.1076178070.

The spelling of 2005506 in words is "two million, five thousand, five hundred six".

Divisors: 1 2 3 6 9 18 27 54 37139 74278 111417 222834 334251 668502 1002753 2005506