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6642980 = 2253747191
BaseRepresentation
bin11001010101110100100100
3110111111110022
4121111310210
53200033410
6354214312
7110315201
oct31256444
913444408
106642980
113827a73
122284398
1314b7876
14c4cca8
158b3455
hex655d24

6642980 has 48 divisors (see below), whose sum is σ = 14708736. Its totient is φ = 2517120.

The previous prime is 6642919. The next prime is 6642991. The reversal of 6642980 is 892466.

It is a self number, because there is not a number n which added to its sum of digits gives 6642980.

It is an unprimeable number.

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, 34685 + ... + 34875.

It is an arithmetic number, because the mean of its divisors is an integer number (306432).

Almost surely, 26642980 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 6642980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7354368).

6642980 is an abundant number, since it is smaller than the sum of its proper divisors (8065756).

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

6642980 is a wasteful number, since it uses less digits than its factorization.

6642980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 6642980 is about 2577.3979126243. The cubic root of 6642980 is about 187.9840411985.

The spelling of 6642980 in words is "six million, six hundred forty-two thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 37 47 74 94 148 185 188 191 235 370 382 470 740 764 940 955 1739 1910 3478 3820 6956 7067 8695 8977 14134 17390 17954 28268 34780 35335 35908 44885 70670 89770 141340 179540 332149 664298 1328596 1660745 3321490 6642980