Search a number
-
+
8031440 = 245100393
BaseRepresentation
bin11110101000110011010000
3120010001001202
4132220303100
54024001230
6444050332
7125160164
oct36506320
916101052
108031440
11459615a
1228339a8
131882841
1410d0ca4
15a89a45
hex7a8cd0

8031440 has 20 divisors (see below), whose sum is σ = 18673284. Its totient is φ = 3212544.

The previous prime is 8031437. The next prime is 8031451. The reversal of 8031440 is 441308.

It can be written as a sum of positive squares in 2 ways, for example, as 3400336 + 4631104 = 1844^2 + 2152^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×80314403 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 50117 + ... + 50276.

Almost surely, 28031440 is an apocalyptic number.

8031440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8031440 is an abundant number, since it is smaller than the sum of its proper divisors (10641844).

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

8031440 is a wasteful number, since it uses less digits than its factorization.

8031440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100406 (or 100400 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 8031440 is about 2833.9795341533. The cubic root of 8031440 is about 200.2616575274.

Adding to 8031440 its reverse (441308), we get a palindrome (8472748).

The spelling of 8031440 in words is "eight million, thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 100393 200786 401572 501965 803144 1003930 1606288 2007860 4015720 8031440