Search a number
-
+
4200000 = 263557
BaseRepresentation
bin10000000001011001000000
321220101022120
4100001121000
52033400000
6230004240
750461620
oct20013100
97811276
104200000
112409582
1214a6680
13b4090c
147b4880
1557e6a0
hex401640

4200000 has 168 divisors, whose sum is σ = 15873984. Its totient is φ = 960000.

The previous prime is 4199989. The next prime is 4200013. The reversal of 4200000 is 24.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 250 × 70 × 240.

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 23 ways as a sum of consecutive naturals, for example, 599997 + ... + 600003.

It is an arithmetic number, because the mean of its divisors is an integer number (94488).

Almost surely, 24200000 is an apocalyptic number.

4200000 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 4200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7936992).

4200000 is an abundant number, since it is smaller than the sum of its proper divisors (11673984).

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

4200000 is an frugal number, since it uses more digits than its factorization.

4200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 4200000 is about 2049.3901531919. The cubic root of 4200000 is about 161.3428646025.

Adding to 4200000 its reverse (24), we get a palindrome (4200024).

The spelling of 4200000 in words is "four million, two hundred thousand".