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4134820 = 225297129
BaseRepresentation
bin1111110001011110100100
321210001220111
433301132210
52024303240
6224342404
750100604
oct17613644
97701814
104134820
112374608
121474a04
13b1a051
14798c04
1556a1ea
hex3f17a4

4134820 has 24 divisors (see below), whose sum is σ = 8983800. Its totient is φ = 1596672.

The previous prime is 4134817. The next prime is 4134829. The reversal of 4134820 is 284314.

It can be written as a sum of positive squares in 4 ways, for example, as 630436 + 3504384 = 794^2 + 1872^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4134791 and 4134800.

It is not an unprimeable number, because it can be changed into a prime (4134829) 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 7 ways as a sum of consecutive naturals, for example, 2985 + ... + 4144.

It is an arithmetic number, because the mean of its divisors is an integer number (374325).

Almost surely, 24134820 is an apocalyptic number.

It is an amenable number.

4134820 is an abundant number, since it is smaller than the sum of its proper divisors (4848980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4134820 is a wasteful number, since it uses less digits than its factorization.

4134820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7167 (or 7165 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 4134820 is about 2033.4256809630. The cubic root of 4134820 is about 160.5038802386.

The spelling of 4134820 in words is "four million, one hundred thirty-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 7129 14258 28516 35645 71290 142580 206741 413482 826964 1033705 2067410 4134820