Search a number
-
+
20936556 = 2234192179
BaseRepresentation
bin100111111011…
…1011101101100
31110101200120000
41033313131230
520324432211
62024424300
7342646344
oct117673554
943350500
1020936556
11108aaa43
127018090
1344507c4
142acdd24
151c88656
hex13f776c

20936556 has 90 divisors (see below), whose sum is σ = 58087260. Its totient is φ = 6574608.

The previous prime is 20936549. The next prime is 20936567. The reversal of 20936556 is 65563902.

It is a super-2 number, since 2×209365562 = 876678754282272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20936556.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 116875 + ... + 117053.

It is an arithmetic number, because the mean of its divisors is an integer number (645414).

Almost surely, 220936556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20936556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29043630).

20936556 is an abundant number, since it is smaller than the sum of its proper divisors (37150704).

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

20936556 is a wasteful number, since it uses less digits than its factorization.

20936556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 20936556 is about 4575.6481508088. The cubic root of 20936556 is about 275.6143005704.

It can be divided in two parts, 2093 and 6556, that added together give a square (8649 = 932).

The spelling of 20936556 in words is "twenty million, nine hundred thirty-six thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 179 228 324 342 358 361 513 537 684 716 722 1026 1074 1083 1444 1539 1611 2052 2148 2166 3078 3222 3249 3401 4332 4833 6156 6444 6498 6802 9666 9747 10203 12996 13604 14499 19332 19494 20406 28998 29241 30609 38988 40812 57996 58482 61218 64619 91827 116964 122436 129238 183654 193857 258476 275481 367308 387714 550962 581571 775428 1101924 1163142 1744713 2326284 3489426 5234139 6978852 10468278 20936556