Search a number
-
+
80832960 = 263251317127
BaseRepresentation
bin1001101000101…
…10100111000000
312122002201222100
410310112213000
5131143123320
612004310400
72001032415
oct464264700
9178081870
1080832960
114169aaaa
12230a2400
1313992570
14aa4210c
15716a790
hex4d169c0

80832960 has 336 divisors, whose sum is σ = 319527936. Its totient is φ = 18579456.

The previous prime is 80832929. The next prime is 80832967. The reversal of 80832960 is 6923808.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80832967) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 636417 + ... + 636543.

It is an arithmetic number, because the mean of its divisors is an integer number (950976).

Almost surely, 280832960 is an apocalyptic number.

80832960 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 80832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159763968).

80832960 is an abundant number, since it is smaller than the sum of its proper divisors (238694976).

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

80832960 is a wasteful number, since it uses less digits than its factorization.

80832960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 80832960 is about 8990.7152107049. The cubic root of 80832960 is about 432.3772424949.

The spelling of 80832960 in words is "eighty million, eight hundred thirty-two thousand, nine hundred sixty".