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5382640 = 245611103
BaseRepresentation
bin10100100010000111110000
3101010110121001
4110202013300
52334221030
6311211344
763515554
oct24420760
911113531
105382640
11304706a
121976b54
131165cc3
14a01864
15714cca
hex5221f0

5382640 has 40 divisors (see below), whose sum is σ = 12731328. Its totient is φ = 2115840.

The previous prime is 5382617. The next prime is 5382647. The reversal of 5382640 is 462835.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 5382599 and 5382608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5382647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4329 + ... + 5431.

Almost surely, 25382640 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 5382640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6365664).

5382640 is an abundant number, since it is smaller than the sum of its proper divisors (7348688).

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

5382640 is a wasteful number, since it uses less digits than its factorization.

5382640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 5382640 is about 2320.0517235614. The cubic root of 5382640 is about 175.2528589558.

The spelling of 5382640 in words is "five million, three hundred eighty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1103 1220 2206 2440 4412 4880 5515 8824 11030 17648 22060 44120 67283 88240 134566 269132 336415 538264 672830 1076528 1345660 2691320 5382640