Search a number
-
+
6006990 = 23511109167
BaseRepresentation
bin10110111010100011001110
3102022012001010
4112322203032
53014210430
6332430050
7102026043
oct26724316
912265033
106006990
113433160
122018326
131324242
14b251ca
157d9cb0
hex5ba8ce

6006990 has 64 divisors (see below), whose sum is σ = 15966720. Its totient is φ = 1434240.

The previous prime is 6006961. The next prime is 6006991. The reversal of 6006990 is 996006.

6006990 = T276 + T277 + ... + T384.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6006991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35887 + ... + 36053.

It is an arithmetic number, because the mean of its divisors is an integer number (249480).

Almost surely, 26006990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6006990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7983360).

6006990 is an abundant number, since it is smaller than the sum of its proper divisors (9959730).

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

6006990 is a wasteful number, since it uses less digits than its factorization.

6006990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297.

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 6006990 is about 2450.9161552366. The cubic root of 6006990 is about 181.7825967479.

It can be divided in two parts, 6006 and 990, that added together give a palindrome (6996).

The spelling of 6006990 in words is "six million, six thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 109 110 165 167 218 327 330 334 501 545 654 835 1002 1090 1199 1635 1670 1837 2398 2505 3270 3597 3674 5010 5511 5995 7194 9185 11022 11990 17985 18203 18370 27555 35970 36406 54609 55110 91015 109218 182030 200233 273045 400466 546090 600699 1001165 1201398 2002330 3003495 6006990