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4129107 = 329311531
BaseRepresentation
bin1111110000000101010011
321202210001220
433300011103
52024112412
6224300123
750045133
oct17600523
97683056
104129107
112370294
121471643
13b17578
14796ac3
1556868c
hex3f0153

4129107 has 16 divisors (see below), whose sum is σ = 5882880. Its totient is φ = 2570400.

The previous prime is 4129087. The next prime is 4129109. The reversal of 4129107 is 7019214.

4129107 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4129107 - 214 = 4112723 is a prime.

It is a super-3 number, since 3×41291073 (a number of 21 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4129109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1932 + ... + 3462.

It is an arithmetic number, because the mean of its divisors is an integer number (367680).

Almost surely, 24129107 is an apocalyptic number.

4129107 is a deficient number, since it is larger than the sum of its proper divisors (1753773).

4129107 is a wasteful number, since it uses less digits than its factorization.

4129107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594.

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 4129107 is about 2032.0204231257. The cubic root of 4129107 is about 160.4299244754.

The spelling of 4129107 in words is "four million, one hundred twenty-nine thousand, one hundred seven".

Divisors: 1 3 29 31 87 93 899 1531 2697 4593 44399 47461 133197 142383 1376369 4129107