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5381760 = 27352803
BaseRepresentation
bin10100100001111010000000
3101010102101110
4110201322000
52334204020
6311203320
763513156
oct24417200
911112343
105381760
11304643a
121976540
131165797
14a013d6
157148e0
hex521e80

5381760 has 64 divisors (see below), whose sum is σ = 17160480. Its totient is φ = 1434624.

The previous prime is 5381749. The next prime is 5381767. The reversal of 5381760 is 671835.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5381767) 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, 519 + ... + 3321.

Almost surely, 25381760 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 5381760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8580240).

5381760 is an abundant number, since it is smaller than the sum of its proper divisors (11778720).

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

5381760 is a wasteful number, since it uses less digits than its factorization.

5381760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2825 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 5381760 is about 2319.8620648651. The cubic root of 5381760 is about 175.2433078235.

The spelling of 5381760 in words is "five million, three hundred eighty-one thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 2803 5606 8409 11212 14015 16818 22424 28030 33636 42045 44848 56060 67272 84090 89696 112120 134544 168180 179392 224240 269088 336360 358784 448480 538176 672720 896960 1076352 1345440 1793920 2690880 5381760