Search a number
-
+
20727756 = 2232783991
BaseRepresentation
bin100111100010…
…0011111001100
31110000002010200
41033010133030
520301242011
62020133500
7341116530
oct117043714
943002120
1020727756
1110778085
126b37290
1343a975a
142a77bc0
151c46856
hex13c47cc

20727756 has 72 divisors (see below), whose sum is σ = 60662784. Its totient is φ = 5844960.

The previous prime is 20727701. The next prime is 20727757. The reversal of 20727756 is 65772702.

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 20727756.

It is not an unprimeable number, because it can be changed into a prime (20727757) 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 23 ways as a sum of consecutive naturals, for example, 20421 + ... + 21411.

Almost surely, 220727756 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 20727756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30331392).

20727756 is an abundant number, since it is smaller than the sum of its proper divisors (39935028).

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

20727756 is a wasteful number, since it uses less digits than its factorization.

20727756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 20727756 is about 4552.7745386742. The cubic root of 20727756 is about 274.6950051144.

The spelling of 20727756 in words is "twenty million, seven hundred twenty-seven thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 83 84 126 166 249 252 332 498 581 747 991 996 1162 1494 1743 1982 2324 2973 2988 3486 3964 5229 5946 6937 6972 8919 10458 11892 13874 17838 20811 20916 27748 35676 41622 62433 82253 83244 124866 164506 246759 249732 329012 493518 575771 740277 987036 1151542 1480554 1727313 2303084 2961108 3454626 5181939 6909252 10363878 20727756