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5120640 = 273257127
BaseRepresentation
bin10011100010001010000000
3100122011012100
4103202022000
52302330030
6301430400
761344660
oct23421200
910564170
105120640
112988238
12186b400
1310a3985
149741a0
156b2360
hex4e2280

5120640 has 192 divisors, whose sum is σ = 20367360. Its totient is φ = 1161216.

The previous prime is 5120629. The next prime is 5120657. The reversal of 5120640 is 460215.

It is a happy number.

5120640 is a `hidden beast` number, since 5 + 1 + 20 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40257 + ... + 40383.

It is an arithmetic number, because the mean of its divisors is an integer number (106080).

Almost surely, 25120640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10183680).

5120640 is an abundant number, since it is smaller than the sum of its proper divisors (15246720).

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

5120640 is a wasteful number, since it uses less digits than its factorization.

5120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5120640 is about 2262.8831167340. The cubic root of 5120640 is about 172.3619563523.

Adding to 5120640 its reverse (460215), we get a palindrome (5580855).

The spelling of 5120640 in words is "five million, one hundred twenty thousand, six hundred forty".