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5383760 = 245173389
BaseRepresentation
bin10100100010011001010000
3101010112010112
4110202121100
52334240020
6311220452
763522044
oct24423120
911115115
105383760
113047998
121977728
131166675
14a02024
157152c5
hex522650

5383760 has 40 divisors (see below), whose sum is σ = 12621960. Its totient is φ = 2135552.

The previous prime is 5383757. The next prime is 5383787. The reversal of 5383760 is 673835.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 906304 + 4477456 = 952^2 + 2116^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13646 + ... + 14034.

It is an arithmetic number, because the mean of its divisors is an integer number (315549).

Almost surely, 25383760 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 5383760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6310980).

5383760 is an abundant number, since it is smaller than the sum of its proper divisors (7238200).

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

5383760 is a wasteful number, since it uses less digits than its factorization.

5383760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 5383760 is about 2320.2930849356. The cubic root of 5383760 is about 175.2650134370.

The spelling of 5383760 in words is "five million, three hundred eighty-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 173 346 389 692 778 865 1384 1556 1730 1945 2768 3112 3460 3890 6224 6920 7780 13840 15560 31120 67297 134594 269188 336485 538376 672970 1076752 1345940 2691880 5383760