Search a number
-
+
6966990 = 2325199389
BaseRepresentation
bin11010100100111011001110
3111002221220200
4122210323032
53240420430
6405154330
7113134632
oct32447316
914087820
106966990
113a29448
1223bb9a6
13159c1a4
14cd4dc2
15929460
hex6a4ece

6966990 has 48 divisors (see below), whose sum is σ = 18252000. Its totient is φ = 1843776.

The previous prime is 6966983. The next prime is 6966997. The reversal of 6966990 is 996696.

It is an interprime number because it is at equal distance from previous prime (6966983) and next prime (6966997).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6966997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17716 + ... + 18104.

It is an arithmetic number, because the mean of its divisors is an integer number (380250).

Almost surely, 26966990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6966990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9126000).

6966990 is an abundant number, since it is smaller than the sum of its proper divisors (11285010).

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

6966990 is a wasteful number, since it uses less digits than its factorization.

6966990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 6966990 is about 2639.5056355310. The cubic root of 6966990 is about 190.9919498083.

The spelling of 6966990 in words is "six million, nine hundred sixty-six thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 199 389 398 597 778 995 1167 1194 1791 1945 1990 2334 2985 3501 3582 3890 5835 5970 7002 8955 11670 17505 17910 35010 77411 154822 232233 387055 464466 696699 774110 1161165 1393398 2322330 3483495 6966990