Search a number
-
+
4094000 = 24532389
BaseRepresentation
bin1111100111100000110000
321200222220122
433213200300
52022002000
6223425412
746540601
oct17474060
97628818
104094000
112346979
121455268
13b045b1
14787da8
1555d085
hex3e7830

4094000 has 80 divisors (see below), whose sum is σ = 10445760. Its totient is φ = 1548800.

The previous prime is 4093993. The next prime is 4094003. The reversal of 4094000 is 4904.

4094000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 4094000.

It is not an unprimeable number, because it can be changed into a prime (4094003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45956 + ... + 46044.

It is an arithmetic number, because the mean of its divisors is an integer number (130572).

Almost surely, 24094000 is an apocalyptic number.

4094000 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 4094000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5222880).

4094000 is an abundant number, since it is smaller than the sum of its proper divisors (6351760).

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

4094000 is a wasteful number, since it uses less digits than its factorization.

4094000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 4094000 is about 2023.3635362930. The cubic root of 4094000 is about 159.9739540936.

Adding to 4094000 its reverse (4904), we get a palindrome (4098904).

The spelling of 4094000 in words is "four million, ninety-four thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 89 92 100 115 125 178 184 200 230 250 356 368 400 445 460 500 575 712 890 920 1000 1150 1424 1780 1840 2000 2047 2225 2300 2875 3560 4094 4450 4600 5750 7120 8188 8900 9200 10235 11125 11500 16376 17800 20470 22250 23000 32752 35600 40940 44500 46000 51175 81880 89000 102350 163760 178000 204700 255875 409400 511750 818800 1023500 2047000 4094000