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20655690 = 23511531181
BaseRepresentation
bin100111011001…
…0111001001010
31102212102021120
41032302321022
520241440230
62014420110
7340366446
oct116627112
942772246
1020655690
1110728a20
126b01636
134382a03
142a59826
151c30310
hex13b2e4a

20655690 has 64 divisors (see below), whose sum is σ = 55147392. Its totient is φ = 4908800.

The previous prime is 20655689. The next prime is 20655707. The reversal of 20655690 is 9655602.

It is a super-2 number, since 2×206556902 = 853315058752200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 16900 + ... + 18080.

It is an arithmetic number, because the mean of its divisors is an integer number (861678).

Almost surely, 220655690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20655690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27573696).

20655690 is an abundant number, since it is smaller than the sum of its proper divisors (34491702).

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

20655690 is a wasteful number, since it uses less digits than its factorization.

20655690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255.

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 20655690 is about 4544.8531329406. The cubic root of 20655690 is about 274.3762834123.

The spelling of 20655690 in words is "twenty million, six hundred fifty-five thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 53 55 66 106 110 159 165 265 318 330 530 583 795 1166 1181 1590 1749 2362 2915 3498 3543 5830 5905 7086 8745 11810 12991 17490 17715 25982 35430 38973 62593 64955 77946 125186 129910 187779 194865 312965 375558 389730 625930 688523 938895 1377046 1877790 2065569 3442615 4131138 6885230 10327845 20655690