Search a number
-
+
4200700 = 2252717353
BaseRepresentation
bin10000000001100011111100
321220102021111
4100001203330
52033410300
6230011404
750463640
oct20014374
97812244
104200700
11240a059
1214a6b64
13b4102a
147b4c20
1557e9ba
hex4018fc

4200700 has 72 divisors (see below), whose sum is σ = 11061792. Its totient is φ = 1351680.

The previous prime is 4200689. The next prime is 4200701. The reversal of 4200700 is 70024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11724 + ... + 12076.

It is an arithmetic number, because the mean of its divisors is an integer number (153636).

Almost surely, 24200700 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 4200700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5530896).

4200700 is an abundant number, since it is smaller than the sum of its proper divisors (6861092).

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

4200700 is a wasteful number, since it uses less digits than its factorization.

4200700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 4200700 is about 2049.5609285893. The cubic root of 4200700 is about 161.3518275970.

Adding to 4200700 its reverse (70024), we get a palindrome (4270724).

It can be divided in two parts, 4200 and 700, that added together give a square (4900 = 702).

The spelling of 4200700 in words is "four million, two hundred thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 340 350 353 425 476 595 700 706 850 1190 1412 1700 1765 2380 2471 2975 3530 4942 5950 6001 7060 8825 9884 11900 12002 12355 17650 24004 24710 30005 35300 42007 49420 60010 61775 84014 120020 123550 150025 168028 210035 247100 300050 420070 600100 840140 1050175 2100350 4200700