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20132640 = 25325113141
BaseRepresentation
bin100110011001…
…1001100100000
31101212211210100
41030303030200
520123221030
61555302400
7333060513
oct114631440
941784710
1020132640
1110400a50
1268aaa00
13422b908
142960d7a
151b7a360
hex1333320

20132640 has 288 divisors, whose sum is σ = 79252992. Its totient is φ = 4608000.

The previous prime is 20132639. The next prime is 20132683. The reversal of 20132640 is 4623102.

It is a happy number.

20132640 is a `hidden beast` number, since 20 + 1 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 491020 + ... + 491060.

It is an arithmetic number, because the mean of its divisors is an integer number (275184).

Almost surely, 220132640 is an apocalyptic number.

20132640 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 20132640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39626496).

20132640 is an abundant number, since it is smaller than the sum of its proper divisors (59120352).

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

20132640 is a wasteful number, since it uses less digits than its factorization.

20132640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20132640 is about 4486.9410515406. The cubic root of 20132640 is about 272.0405072313.

Adding to 20132640 its reverse (4623102), we get a palindrome (24755742).

The spelling of 20132640 in words is "twenty million, one hundred thirty-two thousand, six hundred forty".