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6006220 = 22511231187
BaseRepresentation
bin10110111010010111001100
3102022010222121
4112322113030
53014144340
6332422324
7102023563
oct26722714
912263877
106006220
113432620
1220179a4
131323a9c
14b24bda
157d994a
hex5ba5cc

6006220 has 48 divisors (see below), whose sum is σ = 14370048. Its totient is φ = 2087360.

The previous prime is 6006163. The next prime is 6006229. The reversal of 6006220 is 226006.

It is a junction number, because it is equal to n+sod(n) for n = 6006194 and 6006203.

It is not an unprimeable number, because it can be changed into a prime (6006229) 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 15 ways as a sum of consecutive naturals, for example, 4467 + ... + 5653.

It is an arithmetic number, because the mean of its divisors is an integer number (299376).

Almost surely, 26006220 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 6006220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7185024).

6006220 is an abundant number, since it is smaller than the sum of its proper divisors (8363828).

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

6006220 is a wasteful number, since it uses less digits than its factorization.

6006220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 6006220 is about 2450.7590660854. The cubic root of 6006220 is about 181.7748292093.

It can be divided in two parts, 6006 and 220, that added together give a palindrome (6226).

The spelling of 6006220 in words is "six million, six thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1187 1265 2374 2530 4748 5060 5935 11870 13057 23740 26114 27301 52228 54602 65285 109204 130570 136505 261140 273010 300311 546020 600622 1201244 1501555 3003110 6006220