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20773038 = 23112133171
BaseRepresentation
bin100111100111…
…1100010101110
31110002101020210
41033033202232
520304214123
62021123250
7341365536
oct117174256
943071223
1020773038
11107a9100
126b59526
1343c4250
142a8a4c6
151c54e93
hex13cf8ae

20773038 has 96 divisors (see below), whose sum is σ = 51480576. Its totient is φ = 5544000.

The previous prime is 20772949. The next prime is 20773043. The reversal of 20773038 is 83037702.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20772996 and 20773014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292543 + ... + 292613.

It is an arithmetic number, because the mean of its divisors is an integer number (536256).

Almost surely, 220773038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20773038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25740288).

20773038 is an abundant number, since it is smaller than the sum of its proper divisors (30707538).

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

20773038 is a wasteful number, since it uses less digits than its factorization.

20773038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 20773038 is about 4557.7448370877. The cubic root of 20773038 is about 274.8948931659.

It can be divided in two parts, 2077 and 3038, that added together give a palindrome (5115).

The spelling of 20773038 in words is "twenty million, seven hundred seventy-three thousand, thirty-eight".

Divisors: 1 2 3 6 11 13 22 26 31 33 39 62 66 71 78 93 121 142 143 186 213 242 286 341 363 403 426 429 682 726 781 806 858 923 1023 1209 1562 1573 1846 2046 2201 2343 2418 2769 3146 3751 4402 4433 4686 4719 5538 6603 7502 8591 8866 9438 10153 11253 13206 13299 17182 20306 22506 24211 25773 26598 28613 30459 48422 48763 51546 57226 60918 72633 85839 97526 111683 145266 146289 171678 223366 266321 292578 314743 335049 532642 629486 670098 798963 944229 1597926 1888458 3462173 6924346 10386519 20773038