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6642060 = 2235313571
BaseRepresentation
bin11001010101100110001100
3110111110012020
4121111212030
53200021220
6354210140
7110312415
oct31254614
913443166
106642060
113827307
122283950
1314b7319
14c4c80c
158b3040
hex65598c

6642060 has 48 divisors (see below), whose sum is σ = 19203072. Its totient is φ = 1713600.

The previous prime is 6642059. The next prime is 6642067. The reversal of 6642060 is 602466.

It is a super-2 number, since 2×66420602 = 88233922087200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6642060.

It is not an unprimeable number, because it can be changed into a prime (6642067) 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 15 ways as a sum of consecutive naturals, for example, 75 + ... + 3645.

It is an arithmetic number, because the mean of its divisors is an integer number (400064).

Almost surely, 26642060 is an apocalyptic number.

6642060 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6642060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9601536).

6642060 is an abundant number, since it is smaller than the sum of its proper divisors (12561012).

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

6642060 is a wasteful number, since it uses less digits than its factorization.

6642060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3614 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 6642060 is about 2577.2194318684. The cubic root of 6642060 is about 187.9753626987.

Multiplying 6642060 by its sum of digits (24), we get a triangular number (159409440 = T17855).

The spelling of 6642060 in words is "six million, six hundred forty-two thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 3571 7142 10713 14284 17855 21426 35710 42852 53565 71420 107130 110701 214260 221402 332103 442804 553505 664206 1107010 1328412 1660515 2214020 3321030 6642060