Search a number
-
+
8123409 = 34714327
BaseRepresentation
bin11110111111010000010001
3120021201020000
4132333100101
54034422114
6450040213
7126022260
oct36772021
916251200
108123409
114649268
122879069
1318b5668
1411165d7
15aa6e09
hex7bf411

8123409 has 20 divisors (see below), whose sum is σ = 13869504. Its totient is φ = 4641624.

The previous prime is 8123407. The next prime is 8123411. The reversal of 8123409 is 9043218.

It is an interprime number because it is at equal distance from previous prime (8123407) and next prime (8123411).

It is not a de Polignac number, because 8123409 - 21 = 8123407 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8123407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6597 + ... + 7730.

Almost surely, 28123409 is an apocalyptic number.

It is an amenable number.

8123409 is a deficient number, since it is larger than the sum of its proper divisors (5746095).

8123409 is a wasteful number, since it uses less digits than its factorization.

8123409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14346 (or 14337 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 8123409 is about 2850.1594692227. The cubic root of 8123409 is about 201.0231650735.

It can be divided in two parts, 81 and 23409, that multiplied together give a square (1896129 = 13772).

The spelling of 8123409 in words is "eight million, one hundred twenty-three thousand, four hundred nine".

Divisors: 1 3 7 9 21 27 63 81 189 567 14327 42981 100289 128943 300867 386829 902601 1160487 2707803 8123409