Search a number
-
+
8208135 = 345131559
BaseRepresentation
bin11111010011111100000111
3120110000110000
4133103330013
54100130020
6451532343
7126524265
oct37237407
916400400
108208135
1146a6991
1228ba0b3
1319150b0
141139435
15ac2090
hex7d3f07

8208135 has 40 divisors (see below), whose sum is σ = 15855840. Its totient is φ = 4038336.

The previous prime is 8208113. The next prime is 8208143. The reversal of 8208135 is 5318028.

It is a happy number.

It is not a de Polignac number, because 8208135 - 26 = 8208071 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 8208099 and 8208108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4486 + ... + 6044.

It is an arithmetic number, because the mean of its divisors is an integer number (396396).

Almost surely, 28208135 is an apocalyptic number.

8208135 is a deficient number, since it is larger than the sum of its proper divisors (7647705).

8208135 is a wasteful number, since it uses less digits than its factorization.

8208135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 8208135 is about 2864.9842931507. The cubic root of 8208135 is about 201.7196303148.

The spelling of 8208135 in words is "eight million, two hundred eight thousand, one hundred thirty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 351 405 585 1053 1559 1755 4677 5265 7795 14031 20267 23385 42093 60801 70155 101335 126279 182403 210465 304005 547209 631395 912015 1641627 2736045 8208135