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6966090 = 23251729157
BaseRepresentation
bin11010100100101101001010
3111002220200100
4122210231022
53240403330
6405150230
7113132205
oct32445512
914086610
106966090
113a287aa
1223bb376
13159b961
14cd493c
15929060
hex6a4b4a

6966090 has 96 divisors (see below), whose sum is σ = 19964880. Its totient is φ = 1677312.

The previous prime is 6966059. The next prime is 6966109. The reversal of 6966090 is 906696.

It can be written as a sum of positive squares in 8 ways, for example, as 3359889 + 3606201 = 1833^2 + 1899^2 .

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 44292 + ... + 44448.

Almost surely, 26966090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6966090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9982440).

6966090 is an abundant number, since it is smaller than the sum of its proper divisors (12998790).

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

6966090 is a wasteful number, since it uses less digits than its factorization.

6966090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 6966090 is about 2639.3351435541. The cubic root of 6966090 is about 190.9837253021.

It can be divided in two parts, 696 and 6090, that added together give a triangular number (6786 = T116).

The spelling of 6966090 in words is "six million, nine hundred sixty-six thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 29 30 34 45 51 58 85 87 90 102 145 153 157 170 174 255 261 290 306 314 435 471 493 510 522 765 785 870 942 986 1305 1413 1479 1530 1570 2355 2465 2610 2669 2826 2958 4437 4553 4710 4930 5338 7065 7395 8007 8874 9106 13345 13659 14130 14790 16014 22185 22765 24021 26690 27318 40035 40977 44370 45530 48042 68295 77401 80070 81954 120105 136590 154802 204885 232203 240210 387005 409770 464406 696609 774010 1161015 1393218 2322030 3483045 6966090