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5309640 = 233257343
BaseRepresentation
bin10100010000010011001000
3100222202110100
4110100103020
52324402030
6305445400
763063000
oct24202310
910882410
105309640
112aa7236
121940860
13113b9cb
149c3000
156ed360
hex5104c8

5309640 has 192 divisors, whose sum is σ = 20592000. Its totient is φ = 1185408.

The previous prime is 5309599. The next prime is 5309659. The reversal of 5309640 is 469035.

It is a happy number.

5309640 is a `hidden beast` number, since 530 + 96 + 40 = 666.

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 47 ways as a sum of consecutive naturals, for example, 123459 + ... + 123501.

It is an arithmetic number, because the mean of its divisors is an integer number (107250).

Almost surely, 25309640 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 5309640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10296000).

5309640 is an abundant number, since it is smaller than the sum of its proper divisors (15282360).

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

5309640 is a wasteful number, since it uses less digits than its factorization.

5309640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 5309640 is about 2304.2656096900. The cubic root of 5309640 is about 174.4569834553.

The spelling of 5309640 in words is "five million, three hundred nine thousand, six hundred forty".