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66126 = 23103107
BaseRepresentation
bin10000001001001110
310100201010
4100021032
54104001
61230050
7363534
oct201116
9110633
1066126
1145755
1232326
1324138
141a154
15148d6
hex1024e

66126 has 16 divisors (see below), whose sum is σ = 134784. Its totient is φ = 21624.

The previous prime is 66109. The next prime is 66137. The reversal of 66126 is 62166.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 565 + ... + 671.

It is an arithmetic number, because the mean of its divisors is an integer number (8424).

266126 is an apocalyptic number.

66126 is an abundant number, since it is smaller than the sum of its proper divisors (68658).

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 (67392).

66126 is a wasteful number, since it uses less digits than its factorization.

66126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215.

The product of its digits is 432, while the sum is 21.

The square root of 66126 is about 257.1497618121. The cubic root of 66126 is about 40.4381008402.

The spelling of 66126 in words is "sixty-six thousand, one hundred twenty-six".

Divisors: 1 2 3 6 103 107 206 214 309 321 618 642 11021 22042 33063 66126