Search a number
-
+
6981417 = 331931439
BaseRepresentation
bin11010101000011100101001
3111010200201000
4122220130221
53241401132
6405345213
7113224662
oct32503451
914120630
106981417
113a39273
122408209
1315a5921
14cda369
1592d87c
hex6a8729

6981417 has 32 divisors (see below), whose sum is σ = 11264000. Its totient is φ = 4257360.

The previous prime is 6981409. The next prime is 6981421. The reversal of 6981417 is 7141896.

It is not a de Polignac number, because 6981417 - 23 = 6981409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6981497) 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, 15684 + ... + 16122.

It is an arithmetic number, because the mean of its divisors is an integer number (352000).

Almost surely, 26981417 is an apocalyptic number.

It is an amenable number.

6981417 is a deficient number, since it is larger than the sum of its proper divisors (4282583).

6981417 is a wasteful number, since it uses less digits than its factorization.

6981417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 492 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 6981417 is about 2642.2371203206. The cubic root of 6981417 is about 191.1236920713.

The spelling of 6981417 in words is "six million, nine hundred eighty-one thousand, four hundred seventeen".

Divisors: 1 3 9 19 27 31 57 93 171 279 439 513 589 837 1317 1767 3951 5301 8341 11853 13609 15903 25023 40827 75069 122481 225207 258571 367443 775713 2327139 6981417