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4096040 = 235137877
BaseRepresentation
bin1111101000000000101000
321201002201012
433220000220
52022033130
6223443052
746546544
oct17500050
97632635
104096040
112348463
121456488
13b054c0
14788a24
1555d995
hex3e8028

4096040 has 32 divisors (see below), whose sum is σ = 9926280. Its totient is φ = 1512192.

The previous prime is 4096033. The next prime is 4096049. The reversal of 4096040 is 406904.

It can be written as a sum of positive squares in 4 ways, for example, as 1779556 + 2316484 = 1334^2 + 1522^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4095997 and 4096015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4096049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3419 + ... + 4458.

Almost surely, 24096040 is an apocalyptic number.

4096040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4096040 is an abundant number, since it is smaller than the sum of its proper divisors (5830240).

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

4096040 is a wasteful number, since it uses less digits than its factorization.

4096040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7901 (or 7897 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 4096040 is about 2023.8675846013. The cubic root of 4096040 is about 160.0005208316. Note that the first 3 decimals are identical.

Adding to 4096040 its product of nonzero digits (864), we get a palindrome (4096904).

It can be divided in two parts, 40960 and 40, that multiplied together give a square (1638400 = 12802).

The spelling of 4096040 in words is "four million, ninety-six thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 7877 15754 31508 39385 63016 78770 102401 157540 204802 315080 409604 512005 819208 1024010 2048020 4096040