Search a number
-
+
8040840 = 2335371811
BaseRepresentation
bin11110101011000110001000
3120010111221220
4132223012020
54024301330
6444202040
7125226453
oct36530610
916114856
108040840
1145a2225
122839320
131886bc2
1410d449a
15a8c710
hex7ab188

8040840 has 64 divisors (see below), whose sum is σ = 24788160. Its totient is φ = 2085120.

The previous prime is 8040839. The next prime is 8040853. The reversal of 8040840 is 480408.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 8040840.

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 15 ways as a sum of consecutive naturals, for example, 3535 + ... + 5345.

It is an arithmetic number, because the mean of its divisors is an integer number (387315).

Almost surely, 28040840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8040840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12394080).

8040840 is an abundant number, since it is smaller than the sum of its proper divisors (16747320).

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

8040840 is a wasteful number, since it uses less digits than its factorization.

8040840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 8040840 is about 2835.6374944622. The cubic root of 8040840 is about 200.3397558364.

The spelling of 8040840 in words is "eight million, forty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 1811 2220 3622 4440 5433 7244 9055 10866 14488 18110 21732 27165 36220 43464 54330 67007 72440 108660 134014 201021 217320 268028 335035 402042 536056 670070 804084 1005105 1340140 1608168 2010210 2680280 4020420 8040840