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6543980 = 22517191013
BaseRepresentation
bin11000111101101001101100
3110022110122122
4120331221230
53133401410
6352132112
7106423442
oct30755154
913273578
106543980
11376a653
122237038
1314817a1
14c24b92
15893e55
hex63da6c

6543980 has 48 divisors (see below), whose sum is σ = 15331680. Its totient is φ = 2331648.

The previous prime is 6543973. The next prime is 6543989. The reversal of 6543980 is 893456.

It is a self number, because there is not a number n which added to its sum of digits gives 6543980.

It is not an unprimeable number, because it can be changed into a prime (6543989) 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, 5954 + ... + 6966.

It is an arithmetic number, because the mean of its divisors is an integer number (319410).

Almost surely, 26543980 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 6543980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7665840).

6543980 is an abundant number, since it is smaller than the sum of its proper divisors (8787700).

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

6543980 is a wasteful number, since it uses less digits than its factorization.

6543980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 6543980 is about 2558.1204037340. The cubic root of 6543980 is about 187.0455244859.

The spelling of 6543980 in words is "six million, five hundred forty-three thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 323 340 380 646 1013 1292 1615 2026 3230 4052 5065 6460 10130 17221 19247 20260 34442 38494 68884 76988 86105 96235 172210 192470 327199 344420 384940 654398 1308796 1635995 3271990 6543980