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5131760 = 245232789
BaseRepresentation
bin10011100100110111110000
3100122201110012
4103210313300
52303204020
6301554052
761422254
oct23446760
910581405
105131760
112995627
121875928
1310a8a5a
14978264
156b57c5
hex4e4df0

5131760 has 40 divisors (see below), whose sum is σ = 12454560. Its totient is φ = 1962752.

The previous prime is 5131759. The next prime is 5131781. The reversal of 5131760 is 671315.

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

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 446 + ... + 3234.

It is an arithmetic number, because the mean of its divisors is an integer number (311364).

Almost surely, 25131760 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 5131760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6227280).

5131760 is an abundant number, since it is smaller than the sum of its proper divisors (7322800).

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

5131760 is a wasteful number, since it uses less digits than its factorization.

5131760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2825 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 5131760 is about 2265.3388267542. The cubic root of 5131760 is about 172.4866334248.

The spelling of 5131760 in words is "five million, one hundred thirty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 2789 5578 11156 13945 22312 27890 44624 55780 64147 111560 128294 223120 256588 320735 513176 641470 1026352 1282940 2565880 5131760