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20306700 = 22345223109
BaseRepresentation
bin100110101110…
…1101100001100
31102012200120000
41031131230030
520144303300
62003124300
7334414131
oct115355414
942180500
1020306700
111050a7a7
126973690
13428cbcb
1429a8588
151bb1c00
hex135db0c

20306700 has 180 divisors, whose sum is σ = 69318480. Its totient is φ = 5132160.

The previous prime is 20306681. The next prime is 20306701. The reversal of 20306700 is 760302.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (20306701) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 186246 + ... + 186354.

Almost surely, 220306700 is an apocalyptic number.

20306700 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 20306700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34659240).

20306700 is an abundant number, since it is smaller than the sum of its proper divisors (49011780).

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

20306700 is a wasteful number, since it uses less digits than its factorization.

20306700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 20306700 is about 4506.2955961632. The cubic root of 20306700 is about 272.8222487394.

The spelling of 20306700 in words is "twenty million, three hundred six thousand, seven hundred".