Search a number
-
+
4200460 = 2251161313
BaseRepresentation
bin10000000001100000001100
321220101221121
4100001200030
52033403320
6230010324
750463145
oct20014014
97811847
104200460
112409960
1214a69a4
13b40ba4
147b4acc
1557e8aa
hex40180c

4200460 has 48 divisors (see below), whose sum is σ = 9811872. Its totient is φ = 1497600.

The previous prime is 4200451. The next prime is 4200481. The reversal of 4200460 is 640024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13264 + ... + 13576.

It is an arithmetic number, because the mean of its divisors is an integer number (204414).

Almost surely, 24200460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4200460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4905936).

4200460 is an abundant number, since it is smaller than the sum of its proper divisors (5611412).

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

4200460 is a wasteful number, since it uses less digits than its factorization.

4200460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4200460 is about 2049.5023786276. The cubic root of 4200460 is about 161.3487546825.

Adding to 4200460 its reverse (640024), we get a palindrome (4840484).

The spelling of 4200460 in words is "four million, two hundred thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 220 244 305 313 610 626 671 1220 1252 1342 1565 2684 3130 3355 3443 6260 6710 6886 13420 13772 17215 19093 34430 38186 68860 76372 95465 190930 210023 381860 420046 840092 1050115 2100230 4200460