Search a number
-
+
20773040 = 2451032521
BaseRepresentation
bin100111100111…
…1100010110000
31110002101020212
41033033202300
520304214130
62021123252
7341365541
oct117174260
943071225
1020773040
11107a9102
126b59528
1343c4252
142a8a4c8
151c54e95
hex13cf8b0

20773040 has 40 divisors (see below), whose sum is σ = 48785568. Its totient is φ = 8225280.

The previous prime is 20772949. The next prime is 20773043. The reversal of 20773040 is 4037702.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 20772997 and 20773015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20773043) 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 7 ways as a sum of consecutive naturals, for example, 6980 + ... + 9500.

Almost surely, 220773040 is an apocalyptic number.

20773040 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 20773040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24392784).

20773040 is an abundant number, since it is smaller than the sum of its proper divisors (28012528).

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

20773040 is a wasteful number, since it uses less digits than its factorization.

20773040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2637 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 23.

The square root of 20773040 is about 4557.7450564945. The cubic root of 20773040 is about 274.8949019881.

The spelling of 20773040 in words is "twenty million, seven hundred seventy-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 206 412 515 824 1030 1648 2060 2521 4120 5042 8240 10084 12605 20168 25210 40336 50420 100840 201680 259663 519326 1038652 1298315 2077304 2596630 4154608 5193260 10386520 20773040