Search a number
-
+
80500 = 2253723
BaseRepresentation
bin10011101001110100
311002102111
4103221310
510034000
61420404
7453460
oct235164
9132374
1080500
1155532
123a704
132a844
14214a0
1518cba
hex13a74

80500 has 48 divisors (see below), whose sum is σ = 209664. Its totient is φ = 26400.

The previous prime is 80491. The next prime is 80513. The reversal of 80500 is 508.

80500 = 462 + 472 + ... + 692.

It is a nialpdrome in base 11.

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, 3489 + ... + 3511.

It is an arithmetic number, because the mean of its divisors is an integer number (4368).

280500 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 80500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104832).

80500 is an abundant number, since it is smaller than the sum of its proper divisors (129164).

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

80500 is a wasteful number, since it uses less digits than its factorization.

80500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 80500 is about 283.7252191822. The cubic root of 80500 is about 43.1782755425.

It can be divided in two parts, 80 and 500, that multiplied together give a square (40000 = 2002).

The spelling of 80500 in words is "eighty thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 125 140 161 175 230 250 322 350 460 500 575 644 700 805 875 1150 1610 1750 2300 2875 3220 3500 4025 5750 8050 11500 16100 20125 40250 80500