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4040000 = 2654101
BaseRepresentation
bin1111011010010101000000
321121020211122
433122111000
52013240000
6222331412
746224266
oct17322500
97536748
104040000
11230a348
121429b68
13ab5b43
14772436
1554c085
hex3da540

4040000 has 70 divisors (see below), whose sum is σ = 10117074. Its totient is φ = 1600000.

The previous prime is 4039991. The next prime is 4040009. The reversal of 4040000 is 404.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4039991) and next prime (4040009).

It can be written as a sum of positive squares in 5 ways, for example, as 565504 + 3474496 = 752^2 + 1864^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4040000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39950 + ... + 40050.

Almost surely, 24040000 is an apocalyptic number.

4040000 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 4040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5058537).

4040000 is an abundant number, since it is smaller than the sum of its proper divisors (6077074).

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

4040000 is an equidigital number, since it uses as much as digits as its factorization.

4040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 4040000 is about 2009.9751242242. The cubic root of 4040000 is about 159.2674848358.

Adding to 4040000 its reverse (404), we get a palindrome (4040404).

Multiplying 4040000 by its reverse (404), we get a square (1632160000 = 404002).

4040000 divided by its reverse (404) gives a 4-th power (10000 = 104).

The spelling of 4040000 in words is "four million, forty thousand", and thus it is an eban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 101 125 160 200 202 250 320 400 404 500 505 625 800 808 1000 1010 1250 1600 1616 2000 2020 2500 2525 3232 4000 4040 5000 5050 6464 8000 8080 10000 10100 12625 16160 20000 20200 25250 32320 40000 40400 50500 63125 80800 101000 126250 161600 202000 252500 404000 505000 808000 1010000 2020000 4040000