Search a number
-
+
20765052 = 22337112227
BaseRepresentation
bin100111100110…
…1100101111100
31110001222022000
41033031211330
520303440202
62021022300
7341333340
oct117154574
943058260
1020765052
11107a3100
126b54990
1343c0719
142a87620
151c5291c
hex13cd97c

20765052 has 144 divisors (see below), whose sum is σ = 67925760. Its totient is φ = 5369760.

The previous prime is 20765051. The next prime is 20765077. The reversal of 20765052 is 25056702.

20765052 is a `hidden beast` number, since 2 + 0 + 7 + 650 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20765051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91363 + ... + 91589.

Almost surely, 220765052 is an apocalyptic number.

20765052 is a gapful number since it is divisible by the number (22) 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 20765052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33962880).

20765052 is an abundant number, since it is smaller than the sum of its proper divisors (47160708).

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

20765052 is a wasteful number, since it uses less digits than its factorization.

20765052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 20765052 is about 4556.8686617018. The cubic root of 20765052 is about 274.8596617280.

It can be divided in two parts, 207650 and 52, that added together give a palindrome (207702).

The spelling of 20765052 in words is "twenty million, seven hundred sixty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 121 126 132 154 189 198 227 231 242 252 297 308 363 378 396 454 462 484 594 681 693 726 756 847 908 924 1089 1188 1362 1386 1452 1589 1694 2043 2079 2178 2497 2541 2724 2772 3178 3267 3388 4086 4158 4356 4767 4994 5082 6129 6356 6534 7491 7623 8172 8316 9534 9988 10164 12258 13068 14301 14982 15246 17479 19068 22473 22869 24516 27467 28602 29964 30492 34958 42903 44946 45738 52437 54934 57204 67419 69916 82401 85806 89892 91476 104874 109868 134838 157311 164802 171612 192269 209748 247203 269676 314622 329604 384538 471933 494406 576807 629244 741609 769076 943866 988812 1153614 1483218 1730421 1887732 2307228 2966436 3460842 5191263 6921684 10382526 20765052