Search a number
-
+
9485840 = 2457131303
BaseRepresentation
bin100100001011…
…111000010000
3122211221010102
4210023320100
54412021330
6535151532
7143425340
oct44137020
918757112
109485840
115399941
1232155a8
131c71830
14138cd20
15c75945
hex90be10

9485840 has 80 divisors (see below), whose sum is σ = 27164928. Its totient is φ = 2999808.

The previous prime is 9485831. The next prime is 9485851. The reversal of 9485840 is 485849.

9485840 is digitally balanced in base 5, 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 Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 9485794 and 9485803.

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, 6629 + ... + 7931.

Almost surely, 29485840 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 9485840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13582464).

9485840 is an abundant number, since it is smaller than the sum of its proper divisors (17679088).

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

9485840 is a wasteful number, since it uses less digits than its factorization.

9485840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 9485840 is about 3079.9090895674. The cubic root of 9485840 is about 211.6859001130.

The spelling of 9485840 in words is "nine million, four hundred eighty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1303 1456 1820 2606 3640 5212 6515 7280 9121 10424 13030 16939 18242 20848 26060 33878 36484 45605 52120 67756 72968 84695 91210 104240 118573 135512 145936 169390 182420 237146 271024 338780 364840 474292 592865 677560 729680 948584 1185730 1355120 1897168 2371460 4742920 9485840