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20024960 = 27567467
BaseRepresentation
bin100110001100…
…0111010000000
31101200101002012
41030120322000
520111244320
61553112052
7332131544
oct114307200
941611065
1020024960
111033805a
126858628
1341c18b7
142933a24
151b584c5
hex1318e80

20024960 has 64 divisors (see below), whose sum is σ = 48690720. Its totient is φ = 7873536.

The previous prime is 20024959. The next prime is 20024969. The reversal of 20024960 is 6942002.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (20024969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42647 + ... + 43113.

Almost surely, 220024960 is an apocalyptic number.

20024960 is a gapful number since it is divisible by the number (20) 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 20024960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24345360).

20024960 is an abundant number, since it is smaller than the sum of its proper divisors (28665760).

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

20024960 is an equidigital number, since it uses as much as digits as its factorization.

20024960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 20024960 is about 4474.9256977072. The cubic root of 20024960 is about 271.5546344903.

Adding to 20024960 its reverse (6942002), we get a palindrome (26966962).

The spelling of 20024960 in words is "twenty million, twenty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 128 134 160 268 320 335 467 536 640 670 934 1072 1340 1868 2144 2335 2680 3736 4288 4670 5360 7472 8576 9340 10720 14944 18680 21440 29888 31289 37360 42880 59776 62578 74720 125156 149440 156445 250312 298880 312890 500624 625780 1001248 1251560 2002496 2503120 4004992 5006240 10012480 20024960