Search a number
-
+
4566920 = 2352931127
BaseRepresentation
bin10001011010111110001000
322121000122012
4101122332020
52132120140
6241515052
753550431
oct21327610
98530565
104566920
11263a216
121642a88
13c3b927
1486c488
15603265
hex45af88

4566920 has 64 divisors (see below), whose sum is σ = 11059200. Its totient is φ = 1693440.

The previous prime is 4566907. The next prime is 4566923. The reversal of 4566920 is 296654.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4566923) 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, 35897 + ... + 36023.

It is an arithmetic number, because the mean of its divisors is an integer number (172800).

Almost surely, 24566920 is an apocalyptic number.

4566920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4566920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5529600).

4566920 is an abundant number, since it is smaller than the sum of its proper divisors (6492280).

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

4566920 is a wasteful number, since it uses less digits than its factorization.

4566920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 4566920 is about 2137.0353296097. The cubic root of 4566920 is about 165.9107276319.

The spelling of 4566920 in words is "four million, five hundred sixty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 31 40 58 62 116 124 127 145 155 232 248 254 290 310 508 580 620 635 899 1016 1160 1240 1270 1798 2540 3596 3683 3937 4495 5080 7192 7366 7874 8990 14732 15748 17980 18415 19685 29464 31496 35960 36830 39370 73660 78740 114173 147320 157480 228346 456692 570865 913384 1141730 2283460 4566920