Search a number
-
+
8133129 = 34314179
BaseRepresentation
bin11111000001101000001001
3120022012120000
4133001220021
54040230004
6450153213
7126062514
oct37015011
916265500
108133129
1146555a4
122882809
1318b9c04
141119d7b
15aa9c39
hex7c1a09

8133129 has 40 divisors (see below), whose sum is σ = 13009920. Its totient is φ = 5054400.

The previous prime is 8133127. The next prime is 8133133. The reversal of 8133129 is 9213318.

It is not a de Polignac number, because 8133129 - 21 = 8133127 is a prime.

It is a super-2 number, since 2×81331292 = 132295574661282, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (8133127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 102912 + ... + 102990.

It is an arithmetic number, because the mean of its divisors is an integer number (325248).

Almost surely, 28133129 is an apocalyptic number.

It is an amenable number.

8133129 is a deficient number, since it is larger than the sum of its proper divisors (4876791).

8133129 is a wasteful number, since it uses less digits than its factorization.

8133129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 154 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 8133129 is about 2851.8641271982. The cubic root of 8133129 is about 201.1033106691.

The spelling of 8133129 in words is "eight million, one hundred thirty-three thousand, one hundred twenty-nine".

Divisors: 1 3 9 27 31 41 79 81 93 123 237 279 369 711 837 1107 1271 2133 2449 2511 3239 3321 3813 6399 7347 9717 11439 22041 29151 34317 66123 87453 100409 102951 198369 262359 301227 903681 2711043 8133129