Search a number
-
+
20430160 = 245435939
BaseRepresentation
bin100110111101…
…1110101010000
31102102221220121
41031323311100
520212231120
62005520024
7335440102
oct115736520
942387817
1020430160
1110594533
126a13014
13430416a
1429db572
151bd85aa
hex137bd50

20430160 has 40 divisors (see below), whose sum is σ = 48612960. Its totient is φ = 7980672.

The previous prime is 20430143. The next prime is 20430167. The reversal of 20430160 is 6103402.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20430167) 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, 471 + ... + 6409.

It is an arithmetic number, because the mean of its divisors is an integer number (1215324).

Almost surely, 220430160 is an apocalyptic number.

20430160 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 20430160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24306480).

20430160 is an abundant number, since it is smaller than the sum of its proper divisors (28182800).

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

20430160 is a wasteful number, since it uses less digits than its factorization.

20430160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5995 (or 5989 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 20430160 is about 4519.9734512495. The cubic root of 20430160 is about 273.3740305586.

Adding to 20430160 its reverse (6103402), we get a palindrome (26533562).

The spelling of 20430160 in words is "twenty million, four hundred thirty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 3440 5939 11878 23756 29695 47512 59390 95024 118780 237560 255377 475120 510754 1021508 1276885 2043016 2553770 4086032 5107540 10215080 20430160