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20682112 = 271137397
BaseRepresentation
bin100111011100…
…1010110000000
31102220202112011
41032321112000
520243311422
62015142304
7340536463
oct116712600
942822464
1020682112
1110746860
126b14994
134391a49
142a652da
151c38077
hex13b9580

20682112 has 64 divisors (see below), whose sum is σ = 46279440. Its totient is φ = 9123840.

The previous prime is 20682071. The next prime is 20682119. The reversal of 20682112 is 21128602.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20682119) 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 7 ways as a sum of consecutive naturals, for example, 51898 + ... + 52294.

Almost surely, 220682112 is an apocalyptic number.

20682112 is a gapful number since it is divisible by the number (22) 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 20682112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23139720).

20682112 is an abundant number, since it is smaller than the sum of its proper divisors (25597328).

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

20682112 is a wasteful number, since it uses less digits than its factorization.

20682112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 20682112 is about 4547.7590085667. The cubic root of 20682112 is about 274.4932242525.

The spelling of 20682112 in words is "twenty million, six hundred eighty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 128 148 176 296 352 397 407 592 704 794 814 1184 1408 1588 1628 2368 3176 3256 4367 4736 6352 6512 8734 12704 13024 14689 17468 25408 26048 29378 34936 50816 52096 58756 69872 117512 139744 161579 235024 279488 323158 470048 558976 646316 940096 1292632 1880192 2585264 5170528 10341056 20682112