Search a number
-
+
20467936 = 253147439
BaseRepresentation
bin100111000010…
…1000011100000
31102111212201201
41032011003200
520214433221
62010410544
7335655166
oct116050340
942455651
1020467936
111060a955
126a30a54
134318408
142a0b236
151be4891
hex13850e0

20467936 has 48 divisors (see below), whose sum is σ = 42577920. Its totient is φ = 9671040.

The previous prime is 20467927. The next prime is 20467943. The reversal of 20467936 is 63976402.

It is a junction number, because it is equal to n+sod(n) for n = 20467895 and 20467904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46405 + ... + 46843.

It is an arithmetic number, because the mean of its divisors is an integer number (887040).

Almost surely, 220467936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20467936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21288960).

20467936 is an abundant number, since it is smaller than the sum of its proper divisors (22109984).

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

20467936 is a wasteful number, since it uses less digits than its factorization.

20467936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 20467936 is about 4524.1503069637. The cubic root of 20467936 is about 273.5424191720.

The spelling of 20467936 in words is "twenty million, four hundred sixty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 47 62 94 124 188 248 376 439 496 752 878 992 1457 1504 1756 2914 3512 5828 7024 11656 13609 14048 20633 23312 27218 41266 46624 54436 82532 108872 165064 217744 330128 435488 639623 660256 1279246 2558492 5116984 10233968 20467936