Search a number
-
+
4267830 = 235720323
BaseRepresentation
bin10000010001111100110110
322000211100210
4100101330312
52043032310
6231250250
751163440
oct20217466
98024323
104267830
112455536
121519986
13b65758
147d1490
15594820
hex411f36

4267830 has 32 divisors (see below), whose sum is σ = 11706624. Its totient is φ = 975456.

The previous prime is 4267819. The next prime is 4267831. The reversal of 4267830 is 387624.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4267831) 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, 9952 + ... + 10371.

It is an arithmetic number, because the mean of its divisors is an integer number (365832).

Almost surely, 24267830 is an apocalyptic number.

4267830 is an abundant number, since it is smaller than the sum of its proper divisors (7438794).

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

4267830 is a wasteful number, since it uses less digits than its factorization.

4267830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20340.

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 4267830 is about 2065.8726969492. The cubic root of 4267830 is about 162.2067927681.

It can be divided in two parts, 426 and 7830, that added together give a triangular number (8256 = T128).

The spelling of 4267830 in words is "four million, two hundred sixty-seven thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 20323 40646 60969 101615 121938 142261 203230 284522 304845 426783 609690 711305 853566 1422610 2133915 4267830