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20263320 = 233257111743
BaseRepresentation
bin100110101001…
…1000110011000
31102010111001100
41031103012120
520141411240
62002151400
7334143510
oct115230630
942114040
1020263320
1110490150
126952560
13427623c
142996840
151ba3e30
hex1353198

20263320 has 384 divisors, whose sum is σ = 88957440. Its totient is φ = 3870720.

The previous prime is 20263319. The next prime is 20263333. The reversal of 20263320 is 2336202.

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 = 20263293 and 20263302.

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 95 ways as a sum of consecutive naturals, for example, 471219 + ... + 471261.

It is an arithmetic number, because the mean of its divisors is an integer number (231660).

Almost surely, 220263320 is an apocalyptic number.

20263320 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 20263320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44478720).

20263320 is an abundant number, since it is smaller than the sum of its proper divisors (68694120).

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

20263320 is a wasteful number, since it uses less digits than its factorization.

20263320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 20263320 is about 4501.4797567022. The cubic root of 20263320 is about 272.6278389033.

Adding to 20263320 its reverse (2336202), we get a palindrome (22599522).

The spelling of 20263320 in words is "twenty million, two hundred sixty-three thousand, three hundred twenty".