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21418020 = 2236513113
BaseRepresentation
bin101000110110…
…1000000100100
31111022011000000
41101231000210
520440334040
62043021300
7350023131
oct121550044
944264000
1021418020
11110a9748
12720a830
13458b9b0
142bb7588
151d31130
hex146d024

21418020 has 168 divisors, whose sum is σ = 73265976. Its totient is φ = 5225472.

The previous prime is 21418013. The next prime is 21418027. The reversal of 21418020 is 2081412.

It is an interprime number because it is at equal distance from previous prime (21418013) and next prime (21418027).

It can be written as a sum of positive squares in 4 ways, for example, as 842724 + 20575296 = 918^2 + 4536^2 .

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 = 21417984 and 21418002.

It is not an unprimeable number, because it can be changed into a prime (21418027) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 189484 + ... + 189596.

It is an arithmetic number, because the mean of its divisors is an integer number (436107).

Almost surely, 221418020 is an apocalyptic number.

21418020 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 21418020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36632988).

21418020 is an abundant number, since it is smaller than the sum of its proper divisors (51847956).

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

21418020 is a wasteful number, since it uses less digits than its factorization.

21418020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 21418020 is about 4627.9606739902. The cubic root of 21418020 is about 277.7110155406.

Adding to 21418020 its reverse (2081412), we get a palindrome (23499432).

The spelling of 21418020 in words is "twenty-one million, four hundred eighteen thousand, twenty".