Search a number
-
+
4187040 = 2535111361
BaseRepresentation
bin1111111110001110100000
321212201112120
433332032200
52032441130
6225424240
750406054
oct17761640
97781476
104187040
1123aa870
12149b080
13b37a50
147adc64
1557a910
hex3fe3a0

4187040 has 192 divisors, whose sum is σ = 15748992. Its totient is φ = 921600.

The previous prime is 4187023. The next prime is 4187047. The reversal of 4187040 is 407814.

4187040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4187040.

It is not an unprimeable number, because it can be changed into a prime (4187047) 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 31 ways as a sum of consecutive naturals, for example, 68610 + ... + 68670.

It is an arithmetic number, because the mean of its divisors is an integer number (82026).

Almost surely, 24187040 is an apocalyptic number.

4187040 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 4187040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7874496).

4187040 is an abundant number, since it is smaller than the sum of its proper divisors (11561952).

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

4187040 is a wasteful number, since it uses less digits than its factorization.

4187040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 4187040 is about 2046.2257939924. The cubic root of 4187040 is about 161.1767409543.

The spelling of 4187040 in words is "four million, one hundred eighty-seven thousand, forty".