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4200129 = 323712613
BaseRepresentation
bin10000000001011011000001
321220101111100
4100001123001
52033401004
6230005013
750462163
oct20013301
97811440
104200129
11240968a
1214a6769
13b409ab
147b4933
1557e739
hex4016c1

4200129 has 12 divisors (see below), whose sum is σ = 6231316. Its totient is φ = 2724192.

The previous prime is 4200127. The next prime is 4200137. The reversal of 4200129 is 9210024.

It can be written as a sum of positive squares in 2 ways, for example, as 2873025 + 1327104 = 1695^2 + 1152^2 .

It is not a de Polignac number, because 4200129 - 21 = 4200127 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5974 + ... + 6639.

Almost surely, 24200129 is an apocalyptic number.

It is an amenable number.

4200129 is a deficient number, since it is larger than the sum of its proper divisors (2031187).

4200129 is a wasteful number, since it uses less digits than its factorization.

4200129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12656 (or 12653 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4200129 is about 2049.4216257276. The cubic root of 4200129 is about 161.3445164292.

The spelling of 4200129 in words is "four million, two hundred thousand, one hundred twenty-nine".

Divisors: 1 3 9 37 111 333 12613 37839 113517 466681 1400043 4200129