Search a number
-
+
20493954 = 2321326737
BaseRepresentation
bin100111000101…
…1011010000010
31102120012102100
41032023122002
520221301304
62011131230
7336124065
oct116133202
942505370
1020493954
1110628458
126a43b16
134327200
142a168dc
151bec439
hex138b682

20493954 has 36 divisors (see below), whose sum is σ = 48089106. Its totient is φ = 6304896.

The previous prime is 20493953. The next prime is 20493961. The reversal of 20493954 is 45939402.

It can be written as a sum of positive squares in 3 ways, for example, as 10400625 + 10093329 = 3225^2 + 3177^2 .

It is not an unprimeable number, because it can be changed into a prime (20493953) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 327 + ... + 6410.

Almost surely, 220493954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20493954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24044553).

20493954 is an abundant number, since it is smaller than the sum of its proper divisors (27595152).

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

20493954 is a wasteful number, since it uses less digits than its factorization.

20493954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6771 (or 6755 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 20493954 is about 4527.0248508264. The cubic root of 20493954 is about 273.6582753933.

The spelling of 20493954 in words is "twenty million, four hundred ninety-three thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 1014 1521 3042 6737 13474 20211 40422 60633 87581 121266 175162 262743 525486 788229 1138553 1576458 2277106 3415659 6831318 10246977 20493954