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5731080 = 2335163293
BaseRepresentation
bin10101110111001100001000
3101210011120020
4111313030020
52431343310
6322500440
766466455
oct25671410
911704506
105731080
113264933
121b04720
131258794
14a9282c
15783170
hex577308

5731080 has 64 divisors (see below), whose sum is σ = 17357760. Its totient is φ = 1513728.

The previous prime is 5731079. The next prime is 5731081. The reversal of 5731080 is 801375.

It is an interprime number because it is at equal distance from previous prime (5731079) and next prime (5731081).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5731080.

It is not an unprimeable number, because it can be changed into a prime (5731081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19414 + ... + 19706.

It is an arithmetic number, because the mean of its divisors is an integer number (271215).

Almost surely, 25731080 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 5731080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8678880).

5731080 is an abundant number, since it is smaller than the sum of its proper divisors (11626680).

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

5731080 is a wasteful number, since it uses less digits than its factorization.

5731080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 5731080 is about 2393.9674183247. The cubic root of 5731080 is about 178.9556812140.

It can be divided in two parts, 573 and 1080, that added together give a triangular number (1653 = T57).

The spelling of 5731080 in words is "five million, seven hundred thirty-one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 163 293 326 489 586 652 815 879 978 1172 1304 1465 1630 1758 1956 2344 2445 2930 3260 3516 3912 4395 4890 5860 6520 7032 8790 9780 11720 17580 19560 35160 47759 95518 143277 191036 238795 286554 382072 477590 573108 716385 955180 1146216 1432770 1910360 2865540 5731080