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8128107 = 35133183
BaseRepresentation
bin11111000000011001101011
3120021221200000
4133000121223
54040044412
6450114043
7126042051
oct37003153
916257600
108128107
114651849
12287b923
1318b7840
1411181d1
15aa84dc
hex7c066b

8128107 has 48 divisors (see below), whose sum is σ = 13698048. Its totient is φ = 4782240.

The previous prime is 8128069. The next prime is 8128111. The reversal of 8128107 is 7018218.

8128107 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8128107 - 27 = 8127979 is a prime.

It is a super-2 number, since 2×81281072 = 132132246806898, which contains 22 as substring.

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 (8128117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97888 + ... + 97970.

It is an arithmetic number, because the mean of its divisors is an integer number (285376).

Almost surely, 28128107 is an apocalyptic number.

8128107 is a deficient number, since it is larger than the sum of its proper divisors (5569941).

8128107 is a wasteful number, since it uses less digits than its factorization.

8128107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 8128107 is about 2850.9835145086. The cubic root of 8128107 is about 201.0619100893.

The spelling of 8128107 in words is "eight million, one hundred twenty-eight thousand, one hundred seven".

Divisors: 1 3 9 13 27 31 39 81 83 93 117 243 249 279 351 403 747 837 1053 1079 1209 2241 2511 2573 3159 3237 3627 6723 7533 7719 9711 10881 20169 23157 29133 32643 33449 69471 87399 97929 100347 208413 262197 301041 625239 903123 2709369 8128107