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20632320 = 28345199
BaseRepresentation
bin100111010110…
…1001100000000
31102211020020000
41032231030000
520240213240
62014120000
7340241352
oct116551400
942736200
1020632320
1110712405
126ab0000
134375197
142a510d2
151c28430
hex13ad300

20632320 has 180 divisors, whose sum is σ = 74197200. Its totient is φ = 5474304.

The previous prime is 20632301. The next prime is 20632327. The reversal of 20632320 is 2323602.

20632320 is a `hidden beast` number, since 2 + 0 + 632 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 = 20632293 and 20632302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20632327) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103581 + ... + 103779.

Almost surely, 220632320 is an apocalyptic number.

20632320 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 20632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37098600).

20632320 is an abundant number, since it is smaller than the sum of its proper divisors (53564880).

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

20632320 is an equidigital number, since it uses as much as digits as its factorization.

20632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 209 counting only the distinct ones).

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

The square root of 20632320 is about 4542.2813651292. The cubic root of 20632320 is about 274.2727672460.

Adding to 20632320 its reverse (2323602), we get a palindrome (22955922).

The spelling of 20632320 in words is "twenty million, six hundred thirty-two thousand, three hundred twenty".