Search a number
-
+
8116080 = 243574831
BaseRepresentation
bin11110111101011101110000
3120021100011120
4132331131300
54034203310
6445542240
7125662020
oct36753560
916240146
108116080
114643805
122874980
1318b221b
141113a80
15aa4b70
hex7bd770

8116080 has 80 divisors (see below), whose sum is σ = 28760064. Its totient is φ = 1854720.

The previous prime is 8116063. The next prime is 8116093. The reversal of 8116080 is 806118.

It is a tau number, because it is divible by the number of its divisors (80).

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 8116080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 736 + ... + 4095.

Almost surely, 28116080 is an apocalyptic number.

8116080 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 8116080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14380032).

8116080 is an abundant number, since it is smaller than the sum of its proper divisors (20643984).

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

8116080 is a wasteful number, since it uses less digits than its factorization.

8116080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4854 (or 4848 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 8116080 is about 2848.8734615634. The cubic root of 8116080 is about 200.9626920187.

It can be divided in two parts, 81 and 16080, that added together give a palindrome (16161).

The spelling of 8116080 in words is "eight million, one hundred sixteen thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 4831 9662 14493 19324 24155 28986 33817 38648 48310 57972 67634 72465 77296 96620 101451 115944 135268 144930 169085 193240 202902 231888 270536 289860 338170 386480 405804 507255 541072 579720 676340 811608 1014510 1159440 1352680 1623216 2029020 2705360 4058040 8116080