Search a number
-
+
21024960 = 2635112181
BaseRepresentation
bin101000000110…
…1000011000000
31110120011211020
41100031003000
520340244320
62030345440
7343465155
oct120150300
943504736
1021024960
1110960400
12705b280
134481b08
142b1422c
151ca4940
hex140d0c0

21024960 has 168 divisors, whose sum is σ = 73779888. Its totient is φ = 5068800.

The previous prime is 21024959. The next prime is 21024961. The reversal of 21024960 is 6942012.

It is an interprime number because it is at equal distance from previous prime (21024959) and next prime (21024961).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21024960.

It is not an unprimeable number, because it can be changed into a prime (21024961) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 116070 + ... + 116250.

It is an arithmetic number, because the mean of its divisors is an integer number (439166).

Almost surely, 221024960 is an apocalyptic number.

21024960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21024960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36889944).

21024960 is an abundant number, since it is smaller than the sum of its proper divisors (52754928).

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

21024960 is a wasteful number, since it uses less digits than its factorization.

21024960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 21024960 is about 4585.2982454798. The cubic root of 21024960 is about 276.0016803090.

Adding to 21024960 its reverse (6942012), we get a palindrome (27966972).

The spelling of 21024960 in words is "twenty-one million, twenty-four thousand, nine hundred sixty".