Search a number
-
+
813750 = 2354731
BaseRepresentation
bin11000110101010110110
31112100020220
43012222312
5202020000
625235210
76626310
oct3065266
91470226
10813750
11506423
12332b06
13226512
141727b0
151111a0
hexc6ab6

813750 has 80 divisors (see below), whose sum is σ = 2399232. Its totient is φ = 180000.

The previous prime is 813749. The next prime is 813767. The reversal of 813750 is 57318.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 813750.

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 39 ways as a sum of consecutive naturals, for example, 26235 + ... + 26265.

2813750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199616).

813750 is an abundant number, since it is smaller than the sum of its proper divisors (1585482).

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

813750 is a wasteful number, since it uses less digits than its factorization.

813750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 813750 is about 902.0809276334. The cubic root of 813750 is about 93.3606071087.

The spelling of 813750 in words is "eight hundred thirteen thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 31 35 42 50 62 70 75 93 105 125 150 155 175 186 210 217 250 310 350 375 434 465 525 625 651 750 775 875 930 1050 1085 1250 1302 1550 1750 1875 2170 2325 2625 3255 3750 3875 4375 4650 5250 5425 6510 7750 8750 10850 11625 13125 16275 19375 23250 26250 27125 32550 38750 54250 58125 81375 116250 135625 162750 271250 406875 813750