Search a number
-
+
20591328 = 2531911123
BaseRepresentation
bin100111010001…
…1001011100000
31102202010222210
41032203023200
520232410303
62013202120
7340011012
oct116431340
942663883
1020591328
111069462a
126a90340
13435c624
142a401b2
151c1b203
hex13a32e0

20591328 has 48 divisors (see below), whose sum is σ = 54383616. Its totient is φ = 6821760.

The previous prime is 20591317. The next prime is 20591339. The reversal of 20591328 is 82319502.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20591317) and next prime (20591339).

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 20591295 and 20591304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17775 + ... + 18897.

It is an arithmetic number, because the mean of its divisors is an integer number (1132992).

Almost surely, 220591328 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 20591328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27191808).

20591328 is an abundant number, since it is smaller than the sum of its proper divisors (33792288).

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

20591328 is a wasteful number, since it uses less digits than its factorization.

20591328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 20591328 is about 4537.7668516573. The cubic root of 20591328 is about 274.0910064082.

The spelling of 20591328 in words is "twenty million, five hundred ninety-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 191 382 573 764 1123 1146 1528 2246 2292 3056 3369 4492 4584 6112 6738 8984 9168 13476 17968 18336 26952 35936 53904 107808 214493 428986 643479 857972 1286958 1715944 2573916 3431888 5147832 6863776 10295664 20591328