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20112660 = 22325293853
BaseRepresentation
bin100110010111…
…0010100010100
31101211211101100
41030232110110
520122101120
61555030100
7332645331
oct114562424
941754340
1020112660
1110397a37
12689b330
1342227a9
142957988
151b74490
hex132e514

20112660 has 72 divisors (see below), whose sum is σ = 63128520. Its totient is φ = 5177088.

The previous prime is 20112641. The next prime is 20112661. The reversal of 20112660 is 6621102.

It is a happy number.

20112660 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 2 + 660 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7918596 + 12194064 = 2814^2 + 3492^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20112661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3294 + ... + 7146.

It is an arithmetic number, because the mean of its divisors is an integer number (876785).

Almost surely, 220112660 is an apocalyptic number.

20112660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20112660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31564260).

20112660 is an abundant number, since it is smaller than the sum of its proper divisors (43015860).

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

20112660 is a wasteful number, since it uses less digits than its factorization.

20112660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3897 (or 3892 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 20112660 is about 4484.7140377063. The cubic root of 20112660 is about 271.9504847872.

Adding to 20112660 its reverse (6621102), we get a palindrome (26733762).

The spelling of 20112660 in words is "twenty million, one hundred twelve thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 3853 5220 7706 11559 15412 19265 23118 34677 38530 46236 57795 69354 77060 111737 115590 138708 173385 223474 231180 335211 346770 446948 558685 670422 693540 1005633 1117370 1340844 1676055 2011266 2234740 3352110 4022532 5028165 6704220 10056330 20112660