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59106 = 239851
BaseRepresentation
bin1110011011100010
310000002010
432123202
53342411
61133350
7334215
oct163342
9100063
1059106
1140453
122a256
1320b98
141777c
15127a6
hexe6e2

59106 has 8 divisors (see below), whose sum is σ = 118224. Its totient is φ = 19700.

The previous prime is 59093. The next prime is 59107. The reversal of 59106 is 60195.

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

59106 is an admirable number.

It is an Ulam number.

It is a Curzon number.

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 59106.

It is not an unprimeable number, because it can be changed into a prime (59107) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4920 + ... + 4931.

It is an arithmetic number, because the mean of its divisors is an integer number (14778).

259106 is an apocalyptic number.

59106 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59112).

59106 is a wasteful number, since it uses less digits than its factorization.

59106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9856.

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 59106 is about 243.1172556607. The cubic root of 59106 is about 38.9532642004.

Subtracting 59106 from its reverse (60195), we obtain a square (1089 = 332).

The spelling of 59106 in words is "fifty-nine thousand, one hundred six".

Divisors: 1 2 3 6 9851 19702 29553 59106