Search a number
-
+
8243120 = 245167617
BaseRepresentation
bin11111011100011110110000
3120111210102202
4133130132300
54102234440
6452402332
7130031264
oct37343660
916453382
108243120
1147201a6
1229163a8
131927cb2
1411480a4
15acc615
hex7dc7b0

8243120 has 40 divisors (see below), whose sum is σ = 19311264. Its totient is φ = 3272192.

The previous prime is 8243107. The next prime is 8243149. The reversal of 8243120 is 213428.

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 (20).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 8243092 and 8243101.

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, 13052 + ... + 13668.

Almost surely, 28243120 is an apocalyptic number.

8243120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8243120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9655632).

8243120 is an abundant number, since it is smaller than the sum of its proper divisors (11068144).

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

8243120 is a wasteful number, since it uses less digits than its factorization.

8243120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 8243120 is about 2871.0834191991. The cubic root of 8243120 is about 202.0058162558.

Adding to 8243120 its reverse (213428), we get a palindrome (8456548).

The spelling of 8243120 in words is "eight million, two hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 167 334 617 668 835 1234 1336 1670 2468 2672 3085 3340 4936 6170 6680 9872 12340 13360 24680 49360 103039 206078 412156 515195 824312 1030390 1648624 2060780 4121560 8243120