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20726688 = 253435021
BaseRepresentation
bin100111100010…
…0001110100000
31110000000200010
41033010032200
520301223223
62020124520
7341113443
oct117041640
943000603
1020726688
11107772a4
126b36740
1343a9118
142a7765a
151c46393
hex13c43a0

20726688 has 48 divisors (see below), whose sum is σ = 55683936. Its totient is φ = 6746880.

The previous prime is 20726683. The next prime is 20726711. The reversal of 20726688 is 88662702.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (20726681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1618 + ... + 6638.

It is an arithmetic number, because the mean of its divisors is an integer number (1160082).

Almost surely, 220726688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20726688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27841968).

20726688 is an abundant number, since it is smaller than the sum of its proper divisors (34957248).

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

20726688 is a wasteful number, since it uses less digits than its factorization.

20726688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5077 (or 5069 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 20726688 is about 4552.6572460487. The cubic root of 20726688 is about 274.6902871361.

The spelling of 20726688 in words is "twenty million, seven hundred twenty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 5021 10042 15063 20084 30126 40168 60252 80336 120504 160672 215903 241008 431806 482016 647709 863612 1295418 1727224 2590836 3454448 5181672 6908896 10363344 20726688