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104966 = 2311693
BaseRepresentation
bin11001101000000110
312022222122
4121220012
511324331
62125542
7615011
oct315006
9168878
10104966
1171954
12508b2
1338a14
142a378
152117b
hex19a06

104966 has 8 divisors (see below), whose sum is σ = 162624. Its totient is φ = 50760.

The previous prime is 104959. The next prime is 104971. The reversal of 104966 is 669401.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×1049662 = 22035722312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

104966 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 785 + ... + 908.

It is an arithmetic number, because the mean of its divisors is an integer number (20328).

104966 is a Friedman number, since it can be written as (9*6^6)/4-10, using all its digits and the basic arithmetic operations.

2104966 is an apocalyptic number.

104966 is a deficient number, since it is larger than the sum of its proper divisors (57658).

104966 is a wasteful number, since it uses less digits than its factorization.

104966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726.

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 104966 is about 323.9845675337. The cubic root of 104966 is about 47.1718471393.

The spelling of 104966 in words is "one hundred four thousand, nine hundred sixty-six".

Divisors: 1 2 31 62 1693 3386 52483 104966