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10967082 = 2373732
BaseRepresentation
bin101001110101…
…100000101010
3202122012000020
4221311200222
510301421312
61031021310
7162135000
oct51654052
922565006
1010967082
116210805
12380a836
13236cac9
141656a70
15e6978c
hexa7582a

10967082 has 48 divisors (see below), whose sum is σ = 25934400. Its totient is φ = 3090528.

The previous prime is 10967071. The next prime is 10967083. The reversal of 10967082 is 28076901.

It is not an unprimeable number, because it can be changed into a prime (10967083) 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, 150198 + ... + 150270.

It is an arithmetic number, because the mean of its divisors is an integer number (540300).

Almost surely, 210967082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10967082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12967200).

10967082 is an abundant number, since it is smaller than the sum of its proper divisors (14967318).

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

10967082 is an frugal number, since it uses more digits than its factorization.

10967082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 10967082 is about 3311.6584968864. The cubic root of 10967082 is about 222.1759420105.

Multiplying 10967082 by its product of nonzero digits (6048), we get a square (66328911936 = 2575442).

The spelling of 10967082 in words is "ten million, nine hundred sixty-seven thousand, eighty-two".

Divisors: 1 2 3 6 7 14 21 42 49 73 98 146 147 219 294 343 438 511 686 1022 1029 1533 2058 3066 3577 5329 7154 10658 10731 15987 21462 25039 31974 37303 50078 74606 75117 111909 150234 223818 261121 522242 783363 1566726 1827847 3655694 5483541 10967082