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20653380 = 22345111961
BaseRepresentation
bin100111011001…
…0010101000100
31102212022010000
41032302111010
520241402010
62014401300
7340356636
oct116622504
942768100
1020653380
1110727210
126b00230
134381947
142a58a56
151c2e7c0
hex13b2544

20653380 has 240 divisors, whose sum is σ = 75620160. Its totient is φ = 4665600.

The previous prime is 20653357. The next prime is 20653387. The reversal of 20653380 is 8335602.

20653380 is a `hidden beast` number, since 2 + 0 + 653 + 3 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20653387) 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 79 ways as a sum of consecutive naturals, for example, 338550 + ... + 338610.

It is an arithmetic number, because the mean of its divisors is an integer number (315084).

Almost surely, 220653380 is an apocalyptic number.

20653380 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 20653380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37810080).

20653380 is an abundant number, since it is smaller than the sum of its proper divisors (54966780).

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

20653380 is a wasteful number, since it uses less digits than its factorization.

20653380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 20653380 is about 4544.5989922104. The cubic root of 20653380 is about 274.3660548693.

Adding to 20653380 its reverse (8335602), we get a palindrome (28988982).

It can be divided in two parts, 2065 and 3380, that added together give a palindrome (5445).

The spelling of 20653380 in words is "twenty million, six hundred fifty-three thousand, three hundred eighty".