Search a number
-
+
20732328 = 2333531811
BaseRepresentation
bin100111100010…
…1100110101000
31110000022102000
41033011212220
520301413303
62020211000
7341136051
oct117054650
943008360
1020732328
1110780561
126b39a60
1343ab866
142a79728
151c47da3
hex13c59a8

20732328 has 64 divisors (see below), whose sum is σ = 58708800. Its totient is φ = 6776640.

The previous prime is 20732323. The next prime is 20732329. The reversal of 20732328 is 82323702.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20732323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10543 + ... + 12353.

It is an arithmetic number, because the mean of its divisors is an integer number (917325).

Almost surely, 220732328 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 20732328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29354400).

20732328 is an abundant number, since it is smaller than the sum of its proper divisors (37976472).

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

20732328 is a wasteful number, since it uses less digits than its factorization.

20732328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 20732328 is about 4553.2766223896. The cubic root of 20732328 is about 274.7152004704.

The spelling of 20732328 in words is "twenty million, seven hundred thirty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 106 108 159 212 216 318 424 477 636 954 1272 1431 1811 1908 2862 3622 3816 5433 5724 7244 10866 11448 14488 16299 21732 32598 43464 48897 65196 95983 97794 130392 191966 195588 287949 383932 391176 575898 767864 863847 1151796 1727694 2303592 2591541 3455388 5183082 6910776 10366164 20732328