Search a number
-
+
8066480 = 245591709
BaseRepresentation
bin11110110001010110110000
3120011211010112
4132301112300
54031111410
6444520452
7125364302
oct36612660
916154115
108066480
11460a514
122850128
131895786
1410dd972
15a95105
hex7b15b0

8066480 has 40 divisors (see below), whose sum is σ = 19083600. Its totient is φ = 3170048.

The previous prime is 8066419. The next prime is 8066497. The reversal of 8066480 is 846608.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3866 + ... + 5574.

It is an arithmetic number, because the mean of its divisors is an integer number (477090).

Almost surely, 28066480 is an apocalyptic number.

8066480 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 8066480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9541800).

8066480 is an abundant number, since it is smaller than the sum of its proper divisors (11017120).

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

8066480 is a wasteful number, since it uses less digits than its factorization.

8066480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 8066480 is about 2840.1549253518. The cubic root of 8066480 is about 200.5524724656.

The spelling of 8066480 in words is "eight million, sixty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 944 1180 1709 2360 3418 4720 6836 8545 13672 17090 27344 34180 68360 100831 136720 201662 403324 504155 806648 1008310 1613296 2016620 4033240 8066480