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5375760 = 2435131723
BaseRepresentation
bin10100100000011100010000
3101010010011020
4110200130100
52334011020
6311115440
763456525
oct24403420
911103136
105375760
113041985
121972b80
131162b30
149dd14c
15712c40
hex520710

5375760 has 80 divisors (see below), whose sum is σ = 17957184. Its totient is φ = 1322496.

The previous prime is 5375753. The next prime is 5375761. The reversal of 5375760 is 675735.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5375761) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2259 + ... + 3981.

Almost surely, 25375760 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 5375760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8978592).

5375760 is an abundant number, since it is smaller than the sum of its proper divisors (12581424).

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

5375760 is a wasteful number, since it uses less digits than its factorization.

5375760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 33.

The square root of 5375760 is about 2318.5685238957. The cubic root of 5375760 is about 175.1781587001.

The spelling of 5375760 in words is "five million, three hundred seventy-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 1723 3120 3446 5169 6892 8615 10338 13784 17230 20676 22399 25845 27568 34460 41352 44798 51690 67197 68920 82704 89596 103380 111995 134394 137840 179192 206760 223990 268788 335985 358384 413520 447980 537576 671970 895960 1075152 1343940 1791920 2687880 5375760