Search a number
-
+
20483568 = 2432722903
BaseRepresentation
bin100111000100…
…0110111110000
31102112200011200
41032020313300
520220433233
62011011200
7336051600
oct116106760
942480150
1020483568
1110620676
126a39b00
134322571
142a12c00
151be9313
hex1388df0

20483568 has 90 divisors (see below), whose sum is σ = 66707784. Its totient is φ = 5850432.

The previous prime is 20483563. The next prime is 20483569. The reversal of 20483568 is 86538402.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20483563) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5605 + ... + 8507.

Almost surely, 220483568 is an apocalyptic number.

20483568 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 20483568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33353892).

20483568 is an abundant number, since it is smaller than the sum of its proper divisors (46224216).

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

20483568 is a wasteful number, since it uses less digits than its factorization.

20483568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2931 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 20483568 is about 4525.8775944561. The cubic root of 20483568 is about 273.6120390722.

The spelling of 20483568 in words is "twenty million, four hundred eighty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 2903 3528 5806 7056 8709 11612 17418 20321 23224 26127 34836 40642 46448 52254 60963 69672 81284 104508 121926 139344 142247 162568 182889 209016 243852 284494 325136 365778 418032 426741 487704 568988 731556 853482 975408 1137976 1280223 1463112 1706964 2275952 2560446 2926224 3413928 5120892 6827856 10241784 20483568