[go: up one dir, main page]

Search a number
-
+
4120000 = 2654103
BaseRepresentation
bin1111101101110111000000
321202022120121
433231313000
52023320000
6224150024
750006443
oct17556700
97668517
104120000
112364465
121468314
13b13391
1479365a
15565b1a
hex3eddc0

4120000 has 70 divisors (see below), whose sum is σ = 10315448. Its totient is φ = 1632000.

The previous prime is 4119991. The next prime is 4120003. The reversal of 4120000 is 214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4120003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39949 + ... + 40051.

Almost surely, 24120000 is an apocalyptic number.

4120000 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 4120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5157724).

4120000 is an abundant number, since it is smaller than the sum of its proper divisors (6195448).

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

4120000 is an equidigital number, since it uses as much as digits as its factorization.

4120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 4120000 is about 2029.7783130184. The cubic root of 4120000 is about 160.3118916275.

Adding to 4120000 its reverse (214), we get a palindrome (4120214).

The spelling of 4120000 in words is "four million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 103 125 160 200 206 250 320 400 412 500 515 625 800 824 1000 1030 1250 1600 1648 2000 2060 2500 2575 3296 4000 4120 5000 5150 6592 8000 8240 10000 10300 12875 16480 20000 20600 25750 32960 40000 41200 51500 64375 82400 103000 128750 164800 206000 257500 412000 515000 824000 1030000 2060000 4120000