Search a number
-
+
6966190 = 2571183109
BaseRepresentation
bin11010100100101110101110
3111002220211001
4122210232232
53240404230
6405150514
7113132410
oct32445656
914086731
106966190
113a28890
1223bb43a
13159ba0a
14cd49b0
159290ca
hex6a4bae

6966190 has 64 divisors (see below), whose sum is σ = 15966720. Its totient is φ = 2125440.

The previous prime is 6966173. The next prime is 6966203. The reversal of 6966190 is 916696.

6966190 = T804 + T805 + ... + T824.

It is a super-2 number, since 2×69661902 = 97055606232200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 63856 + ... + 63964.

It is an arithmetic number, because the mean of its divisors is an integer number (249480).

Almost surely, 26966190 is an apocalyptic number.

6966190 is an abundant number, since it is smaller than the sum of its proper divisors (9000530).

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

6966190 is a wasteful number, since it uses less digits than its factorization.

6966190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217.

The product of its (nonzero) digits is 17496, while the sum is 37.

The square root of 6966190 is about 2639.3540876510. The cubic root of 6966190 is about 190.9846391711.

It can be divided in two parts, 69661 and 90, that added together give a triangular number (69751 = T373).

The spelling of 6966190 in words is "six million, nine hundred sixty-six thousand, one hundred ninety".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 83 109 110 154 166 218 385 415 545 581 763 770 830 913 1090 1162 1199 1526 1826 2398 2905 3815 4565 5810 5995 6391 7630 8393 9047 9130 11990 12782 16786 18094 31955 41965 45235 63329 63910 83930 90470 99517 126658 199034 316645 497585 633290 696619 995170 1393238 3483095 6966190