Search a number
-
+
5745840 = 243589269
BaseRepresentation
bin10101111010110010110000
3101210220210220
4111322302300
52432331330
6323053040
766560502
oct25726260
911726726
105745840
113274a31
121b11180
131262409
14a97d72
15787710
hex57acb0

5745840 has 80 divisors (see below), whose sum is σ = 18079200. Its totient is φ = 1509376.

The previous prime is 5745827. The next prime is 5745869. The reversal of 5745840 is 485475.

5745840 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21226 + ... + 21494.

It is an arithmetic number, because the mean of its divisors is an integer number (225990).

Almost surely, 25745840 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 5745840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9039600).

5745840 is an abundant number, since it is smaller than the sum of its proper divisors (12333360).

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

5745840 is a wasteful number, since it uses less digits than its factorization.

5745840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 5745840 is about 2397.0481847472. The cubic root of 5745840 is about 179.1091788401.

The spelling of 5745840 in words is "five million, seven hundred forty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 89 120 178 240 267 269 356 445 534 538 712 807 890 1068 1076 1335 1345 1424 1614 1780 2136 2152 2670 2690 3228 3560 4035 4272 4304 5340 5380 6456 7120 8070 10680 10760 12912 16140 21360 21520 23941 32280 47882 64560 71823 95764 119705 143646 191528 239410 287292 359115 383056 478820 574584 718230 957640 1149168 1436460 1915280 2872920 5745840