Search a number
-
+
21345120 = 2537561
BaseRepresentation
bin101000101101…
…1001101100000
31111011110000000
41101123031200
520431020440
62041300000
7346300446
oct121331540
944143000
1021345120
11110599a5
127194600
134564764
142b98b96
151d19730
hex145b360

21345120 has 192 divisors, whose sum is σ = 76870080. Its totient is φ = 5598720.

The previous prime is 21345119. The next prime is 21345187. The reversal of 21345120 is 2154312.

21345120 is a `hidden beast` number, since 213 + 451 + 2 + 0 = 666.

It is a super-2 number, since 2×213451202 = 911228295628800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 21345093 and 21345102.

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 31 ways as a sum of consecutive naturals, for example, 349890 + ... + 349950.

It is an arithmetic number, because the mean of its divisors is an integer number (400365).

Almost surely, 221345120 is an apocalyptic number.

21345120 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 21345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38435040).

21345120 is an abundant number, since it is smaller than the sum of its proper divisors (55524960).

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

21345120 is an frugal number, since it uses more digits than its factorization.

21345120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 71 counting only the distinct ones).

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

The square root of 21345120 is about 4620.0779214208. The cubic root of 21345120 is about 277.3955779502.

Adding to 21345120 its reverse (2154312), we get a palindrome (23499432).

The spelling of 21345120 in words is "twenty-one million, three hundred forty-five thousand, one hundred twenty".