Search a number
-
+
8509340 = 2257219457
BaseRepresentation
bin100000011101…
…011110011100
3121000022121202
4200131132130
54134244330
6502215032
7132220400
oct40353634
917008552
108509340
114892214
122a24478
1319bc218
1411b7100
15b31445
hex81d79c

8509340 has 72 divisors (see below), whose sum is σ = 21929040. Its totient is φ = 2757888.

The previous prime is 8509339. The next prime is 8509349. The reversal of 8509340 is 439058.

8509340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8509349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18392 + ... + 18848.

It is an arithmetic number, because the mean of its divisors is an integer number (304570).

Almost surely, 28509340 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 8509340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10964520).

8509340 is an abundant number, since it is smaller than the sum of its proper divisors (13419700).

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

8509340 is a wasteful number, since it uses less digits than its factorization.

8509340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 8509340 is about 2917.0773044265. The cubic root of 8509340 is about 204.1574780445.

The spelling of 8509340 in words is "eight million, five hundred nine thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 245 266 380 457 490 532 665 914 931 980 1330 1828 1862 2285 2660 3199 3724 4570 4655 6398 8683 9140 9310 12796 15995 17366 18620 22393 31990 34732 43415 44786 60781 63980 86830 89572 111965 121562 173660 223930 243124 303905 425467 447860 607810 850934 1215620 1701868 2127335 4254670 8509340