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20984670 = 234573701
BaseRepresentation
bin101000000001…
…1001101011110
31110111010120000
41100003031132
520333002140
62025435130
7343236540
oct120031536
943433500
1020984670
1110933103
12703baa6
134469685
142b03690
151c97a30
hex140335e

20984670 has 80 divisors (see below), whose sum is σ = 64503648. Its totient is φ = 4795200.

The previous prime is 20984633. The next prime is 20984729. The reversal of 20984670 is 7648902.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 3820 + ... + 7520.

Almost surely, 220984670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20984670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32251824).

20984670 is an abundant number, since it is smaller than the sum of its proper divisors (43518978).

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

20984670 is a wasteful number, since it uses less digits than its factorization.

20984670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3727 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 20984670 is about 4580.9027494589. The cubic root of 20984670 is about 275.8252674740.

The spelling of 20984670 in words is "twenty million, nine hundred eighty-four thousand, six hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 567 630 810 945 1134 1890 2835 3701 5670 7402 11103 18505 22206 25907 33309 37010 51814 55515 66618 77721 99927 111030 129535 155442 166545 199854 233163 259070 299781 333090 388605 466326 499635 599562 699489 777210 999270 1165815 1398978 1498905 2098467 2331630 2997810 3497445 4196934 6994890 10492335 20984670