Search a number
-
+
8081040 = 2435113061
BaseRepresentation
bin11110110100111010010000
3120012120002210
4132310322100
54032043130
6445112120
7125454612
oct36647220
916176083
108081040
11461a450
122858640
13189c2a6
141104db2
15a995b0
hex7b4e90

8081040 has 80 divisors (see below), whose sum is σ = 27337536. Its totient is φ = 1958400.

The previous prime is 8081011. The next prime is 8081041. The reversal of 8081040 is 401808.

8081040 is digitally balanced in base 4, 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 junction number, because it is equal to n+sod(n) for n = 8080998 and 8081016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8081041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1110 + ... + 4170.

Almost surely, 28081040 is an apocalyptic number.

8081040 is a gapful number since it is divisible by the number (80) 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 8081040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13668768).

8081040 is an abundant number, since it is smaller than the sum of its proper divisors (19256496).

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

8081040 is a wasteful number, since it uses less digits than its factorization.

8081040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3088 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 8081040 is about 2842.7170101859. The cubic root of 8081040 is about 200.6730657052.

Adding to 8081040 its reverse (401808), we get a palindrome (8482848).

The spelling of 8081040 in words is "eight million, eighty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 3061 6122 9183 12244 15305 18366 24488 30610 33671 36732 45915 48976 61220 67342 73464 91830 101013 122440 134684 146928 168355 183660 202026 244880 269368 336710 367320 404052 505065 538736 673420 734640 808104 1010130 1346840 1616208 2020260 2693680 4040520 8081040