Search a number
-
+
6980540 = 2257217419
BaseRepresentation
bin11010101000001110111100
3111010122111112
4122220032330
53241334130
6405341152
7113222300
oct32501674
914118445
106980540
113a38646
1224077b8
1315a53c8
14cd9d00
1592d495
hex6a83bc

6980540 has 72 divisors (see below), whose sum is σ = 18098640. Its totient is φ = 2247168.

The previous prime is 6980527. The next prime is 6980551. The reversal of 6980540 is 450896.

6980540 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

6980540 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 6980497 and 6980506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16451 + ... + 16869.

It is an arithmetic number, because the mean of its divisors is an integer number (251370).

Almost surely, 26980540 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 6980540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9049320).

6980540 is an abundant number, since it is smaller than the sum of its proper divisors (11118100).

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

6980540 is a wasteful number, since it uses less digits than its factorization.

6980540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 6980540 is about 2642.0711572552. The cubic root of 6980540 is about 191.1156888013.

The spelling of 6980540 in words is "six million, nine hundred eighty thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 419 476 490 595 833 838 980 1190 1666 1676 2095 2380 2933 3332 4165 4190 5866 7123 8330 8380 11732 14246 14665 16660 20531 28492 29330 35615 41062 49861 58660 71230 82124 99722 102655 142460 199444 205310 249305 349027 410620 498610 698054 997220 1396108 1745135 3490270 6980540