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5081760 = 253253529
BaseRepresentation
bin10011011000101010100000
3100120011212100
4103120222200
52300104020
6300530400
761123425
oct23305240
910504770
105081760
112961002
121850a00
13108c078
14963d4c
156a5a90
hex4d8aa0

5081760 has 72 divisors (see below), whose sum is σ = 17346420. Its totient is φ = 1354752.

The previous prime is 5081743. The next prime is 5081761. The reversal of 5081760 is 671805.

It can be written as a sum of positive squares in 2 ways, for example, as 4613904 + 467856 = 2148^2 + 684^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (5081761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 325 + ... + 3204.

Almost surely, 25081760 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 5081760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8673210).

5081760 is an abundant number, since it is smaller than the sum of its proper divisors (12264660).

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

5081760 is a wasteful number, since it uses less digits than its factorization.

5081760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3550 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 5081760 is about 2254.2759369696. The cubic root of 5081760 is about 171.9246109128.

It can be divided in two parts, 50 and 81760, that added together give a triangular number (81810 = T404).

The spelling of 5081760 in words is "five million, eighty-one thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 3529 7058 10587 14116 17645 21174 28232 31761 35290 42348 52935 56464 63522 70580 84696 105870 112928 127044 141160 158805 169392 211740 254088 282320 317610 338784 423480 508176 564640 635220 846960 1016352 1270440 1693920 2540880 5081760