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6980730 = 2352367151
BaseRepresentation
bin11010101000010001111010
3111010122202120
4122220101322
53241340410
6405342110
7113222661
oct32502172
914118676
106980730
113a387a9
122407936
1315a5513
14cd9dd8
1592d570
hex6a847a

6980730 has 64 divisors (see below), whose sum is σ = 17860608. Its totient is φ = 1742400.

The previous prime is 6980717. The next prime is 6980731. The reversal of 6980730 is 370896.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 6980691 and 6980700.

It is not an unprimeable number, because it can be changed into a prime (6980731) 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 31 ways as a sum of consecutive naturals, for example, 46155 + ... + 46305.

It is an arithmetic number, because the mean of its divisors is an integer number (279072).

Almost surely, 26980730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6980730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8930304).

6980730 is an abundant number, since it is smaller than the sum of its proper divisors (10879878).

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

6980730 is a wasteful number, since it uses less digits than its factorization.

6980730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251.

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 6980730 is about 2642.1071136500. The cubic root of 6980730 is about 191.1174227479.

The spelling of 6980730 in words is "six million, nine hundred eighty thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 67 69 115 134 138 151 201 230 302 335 345 402 453 670 690 755 906 1005 1510 1541 2010 2265 3082 3473 4530 4623 6946 7705 9246 10117 10419 15410 17365 20234 20838 23115 30351 34730 46230 50585 52095 60702 101170 104190 151755 232691 303510 465382 698073 1163455 1396146 2326910 3490365 6980730