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62106 = 2311941
BaseRepresentation
bin1111001010011010
310011012020
433022122
53441411
61155310
7346032
oct171232
9104166
1062106
1142730
122bb36
1322365
14188c2
1513606
hexf29a

62106 has 16 divisors (see below), whose sum is σ = 135648. Its totient is φ = 18800.

The previous prime is 62099. The next prime is 62119. The reversal of 62106 is 60126.

It is an Ulam number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 62106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 405 + ... + 536.

It is an arithmetic number, because the mean of its divisors is an integer number (8478).

262106 is an apocalyptic number.

62106 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

62106 is an abundant number, since it is smaller than the sum of its proper divisors (73542).

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 (67824).

62106 is a wasteful number, since it uses less digits than its factorization.

62106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 62106 is about 249.2107541821. The cubic root of 62106 is about 39.6014589810.

It can be divided in two parts, 6210 and 6, that added together give a triangular number (6216 = T111).

The spelling of 62106 in words is "sixty-two thousand, one hundred six".

Divisors: 1 2 3 6 11 22 33 66 941 1882 2823 5646 10351 20702 31053 62106