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20730744 = 2332833469
BaseRepresentation
bin100111100010…
…1001101111000
31110000020020100
41033011031320
520301340434
62020155400
7341131326
oct117051570
943006210
1020730744
111077a351
126b38b60
1343aac18
142a78d16
151c47699
hex13c5378

20730744 has 48 divisors (see below), whose sum is σ = 56838600. Its totient is φ = 6825024.

The previous prime is 20730739. The next prime is 20730757. The reversal of 20730744 is 44703702.

It is a super-5 number, since 5×207307445 (a number of 38 digits) contains 55555 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4242 + ... + 7710.

Almost surely, 220730744 is an apocalyptic number.

20730744 is a gapful number since it is divisible by the number (24) 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 20730744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28419300).

20730744 is an abundant number, since it is smaller than the sum of its proper divisors (36107856).

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

20730744 is a wasteful number, since it uses less digits than its factorization.

20730744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3564 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 20730744 is about 4553.1026783942. The cubic root of 20730744 is about 274.7082039903.

The spelling of 20730744 in words is "twenty million, seven hundred thirty thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 498 664 747 996 1494 1992 2988 3469 5976 6938 10407 13876 20814 27752 31221 41628 62442 83256 124884 249768 287927 575854 863781 1151708 1727562 2303416 2591343 3455124 5182686 6910248 10365372 20730744