Search a number
-
+
6982950 = 2352133581
BaseRepresentation
bin11010101000110100100110
3111010202210210
4122220310212
53241423300
6405400250
7113232312
oct32506446
914122723
106982950
113a3a437
122409086
1315a6530
14cdab42
1592e050
hex6a8d26

6982950 has 48 divisors (see below), whose sum is σ = 18655056. Its totient is φ = 1718400.

The previous prime is 6982919. The next prime is 6982951. The reversal of 6982950 is 592896.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 6982899 and 6982908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6982951) 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 23 ways as a sum of consecutive naturals, for example, 160 + ... + 3740.

It is an arithmetic number, because the mean of its divisors is an integer number (388647).

Almost surely, 26982950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6982950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9327528).

6982950 is an abundant number, since it is smaller than the sum of its proper divisors (11672106).

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

6982950 is a wasteful number, since it uses less digits than its factorization.

6982950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3609 (or 3604 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 6982950 is about 2642.5271994816. The cubic root of 6982950 is about 191.1376802143.

The spelling of 6982950 in words is "six million, nine hundred eighty-two thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 390 650 975 1950 3581 7162 10743 17905 21486 35810 46553 53715 89525 93106 107430 139659 179050 232765 268575 279318 465530 537150 698295 1163825 1396590 2327650 3491475 6982950