Search a number
-
+
21238176 = 2531971123
BaseRepresentation
bin101000100000…
…1000110100000
31110222000022010
41101001012200
520414110201
62035112520
7345343611
oct121010640
943860263
1021238176
1110a96613
127142740
134527b8b
142b6bc08
151ce7bd6
hex14411a0

21238176 has 48 divisors (see below), whose sum is σ = 56083104. Its totient is φ = 7037184.

The previous prime is 21238157. The next prime is 21238207. The reversal of 21238176 is 67183212.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18351 + ... + 19473.

It is an arithmetic number, because the mean of its divisors is an integer number (1168398).

Almost surely, 221238176 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 21238176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28041552).

21238176 is an abundant number, since it is smaller than the sum of its proper divisors (34844928).

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

21238176 is a wasteful number, since it uses less digits than its factorization.

21238176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1325 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 21238176 is about 4608.4895573279. The cubic root of 21238176 is about 276.9315300364.

The spelling of 21238176 in words is "twenty-one million, two hundred thirty-eight thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 197 394 591 788 1123 1182 1576 2246 2364 3152 3369 4492 4728 6304 6738 8984 9456 13476 17968 18912 26952 35936 53904 107808 221231 442462 663693 884924 1327386 1769848 2654772 3539696 5309544 7079392 10619088 21238176