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20646126 = 23217109619
BaseRepresentation
bin100111011000…
…0100011101110
31102211221011100
41032300203232
520241134001
62014303530
7340326534
oct116604356
942757140
1020646126
1110721816
126ab7ba6
13437b557
142a56154
151c2c586
hex13b08ee

20646126 has 48 divisors (see below), whose sum is σ = 47876400. Its totient is φ = 6407424.

The previous prime is 20646107. The next prime is 20646137. The reversal of 20646126 is 62164602.

It is a happy number.

20646126 is a `hidden beast` number, since 2 + 0 + 646 + 12 + 6 = 666.

20646126 is nontrivially palindromic in base 12.

It is a super-3 number, since 3×206461263 (a number of 23 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20646126.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33045 + ... + 33663.

It is an arithmetic number, because the mean of its divisors is an integer number (997425).

Almost surely, 220646126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20646126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23938200).

20646126 is an abundant number, since it is smaller than the sum of its proper divisors (27230274).

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

20646126 is a wasteful number, since it uses less digits than its factorization.

20646126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 20646126 is about 4543.8008319027. The cubic root of 20646126 is about 274.3339296285. Note that the first 3 decimals are identical.

The spelling of 20646126 in words is "twenty million, six hundred forty-six thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 109 153 218 306 327 619 654 981 1238 1853 1857 1962 3706 3714 5559 5571 10523 11118 11142 16677 21046 31569 33354 63138 67471 94707 134942 189414 202413 404826 607239 1147007 1214478 2294014 3441021 6882042 10323063 20646126