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6980200 = 2352172053
BaseRepresentation
bin11010101000001001101000
3111010122000221
4122220021220
53241331300
6405335424
7113221303
oct32501150
914118027
106980200
113a38367
122407574
1315a51c6
14cd9b3a
1592d31a
hex6a8268

6980200 has 48 divisors (see below), whose sum is σ = 17191980. Its totient is φ = 2626560.

The previous prime is 6980191. The next prime is 6980219. The reversal of 6980200 is 20896.

It can be written as a sum of positive squares in 6 ways, for example, as 3587236 + 3392964 = 1894^2 + 1842^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2374 + ... + 4426.

Almost surely, 26980200 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 6980200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8595990).

6980200 is an abundant number, since it is smaller than the sum of its proper divisors (10211780).

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

6980200 is a wasteful number, since it uses less digits than its factorization.

6980200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 6980200 is about 2642.0068130117. The cubic root of 6980200 is about 191.1125858709.

The spelling of 6980200 in words is "six million, nine hundred eighty thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 2053 3400 4106 8212 10265 16424 20530 34901 41060 51325 69802 82120 102650 139604 174505 205300 279208 349010 410600 698020 872525 1396040 1745050 3490100 6980200