Search a number
-
+
21325140 = 223351723101
BaseRepresentation
bin101000101011…
…0010101010100
31111010102121000
41101112111110
520424401030
62041023300
7346155264
oct121262524
944112530
1021325140
1111045991
127184b30
134558635
142b917a4
151d13860
hex1456554

21325140 has 192 divisors, whose sum is σ = 74027520. Its totient is φ = 5068800.

The previous prime is 21325099. The next prime is 21325147. The reversal of 21325140 is 4152312.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21325147) 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 63 ways as a sum of consecutive naturals, for example, 211090 + ... + 211190.

It is an arithmetic number, because the mean of its divisors is an integer number (385560).

Almost surely, 221325140 is an apocalyptic number.

21325140 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 21325140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37013760).

21325140 is an abundant number, since it is smaller than the sum of its proper divisors (52702380).

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

21325140 is a wasteful number, since it uses less digits than its factorization.

21325140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 21325140 is about 4617.9151139881. The cubic root of 21325140 is about 277.3089993185.

Adding to 21325140 its reverse (4152312), we get a palindrome (25477452).

The spelling of 21325140 in words is "twenty-one million, three hundred twenty-five thousand, one hundred forty".