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6985580 = 2257411217
BaseRepresentation
bin11010101001011101101100
3111010220102012
4122221131230
53242014310
6405420352
7113243060
oct32513554
914126365
106985580
113a41408
12240a6b8
1315a77a4
14cdbaa0
1592ec05
hex6a976c

6985580 has 48 divisors (see below), whose sum is σ = 17188416. Its totient is φ = 2334720.

The previous prime is 6985579. The next prime is 6985603. The reversal of 6985580 is 855896.

6985580 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

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, 5132 + ... + 6348.

It is an arithmetic number, because the mean of its divisors is an integer number (358092).

Almost surely, 26985580 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 6985580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8594208).

6985580 is an abundant number, since it is smaller than the sum of its proper divisors (10202836).

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

6985580 is a wasteful number, since it uses less digits than its factorization.

6985580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 41.

The square root of 6985580 is about 2643.0247823280. The cubic root of 6985580 is about 191.1616733692.

The spelling of 6985580 in words is "six million, nine hundred eighty-five thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 820 1148 1217 1435 2434 2870 4868 5740 6085 8519 12170 17038 24340 34076 42595 49897 85190 99794 170380 199588 249485 349279 498970 698558 997940 1397116 1746395 3492790 6985580