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20763568 = 247672767
BaseRepresentation
bin100111100110…
…1001110110000
31110001220021001
41033031032300
520303413233
62021011344
7341326120
oct117151660
943056231
1020763568
11107a1a81
126b53b54
1343bcb47
142a86c80
151c5227d
hex13cd3b0

20763568 has 40 divisors (see below), whose sum is σ = 46679552. Its totient is φ = 8762688.

The previous prime is 20763559. The next prime is 20763571. The reversal of 20763568 is 86536702.

It is a super-2 number, since 2×207635682 = 862251512181248, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 6121 + ... + 8887.

Almost surely, 220763568 is an apocalyptic number.

20763568 is a gapful number since it is divisible by the number (28) 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 20763568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23339776).

20763568 is an abundant number, since it is smaller than the sum of its proper divisors (25915984).

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

20763568 is a wasteful number, since it uses less digits than its factorization.

20763568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 20763568 is about 4556.7058276786. The cubic root of 20763568 is about 274.8531138440.

The spelling of 20763568 in words is "twenty million, seven hundred sixty-three thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 67 112 134 268 469 536 938 1072 1876 2767 3752 5534 7504 11068 19369 22136 38738 44272 77476 154952 185389 309904 370778 741556 1297723 1483112 2595446 2966224 5190892 10381784 20763568