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805200 = 243521161
BaseRepresentation
bin11000100100101010000
31111220112020
43010211100
5201231300
625131440
76562344
oct3044520
91456466
10805200
114aaa60
12329b80
13222666
1416d624
1510d8a0
hexc4950

805200 has 120 divisors (see below), whose sum is σ = 2859936. Its totient is φ = 192000.

The previous prime is 805187. The next prime is 805213. The reversal of 805200 is 2508.

Adding to 805200 its reverse (2508), we get a palindrome (807708).

It is an interprime number because it is at equal distance from previous prime (805187) and next prime (805213).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 805200.

It is a congruent number.

It is an unprimeable number.

805200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13170 + ... + 13230.

2805200 is an apocalyptic number.

805200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

805200 is the 480-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 805200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429968).

805200 is an abundant number, since it is smaller than the sum of its proper divisors (2054736).

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

805200 is a wasteful number, since it uses less digits than its factorization.

805200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 805200 is about 897.3293709670. The cubic root of 805200 is about 93.0324779617.

The spelling of 805200 in words is "eight hundred five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 61 66 75 80 88 100 110 120 122 132 150 165 176 183 200 220 240 244 264 275 300 305 330 366 400 440 488 528 550 600 610 660 671 732 825 880 915 976 1100 1200 1220 1320 1342 1464 1525 1650 1830 2013 2200 2440 2640 2684 2928 3050 3300 3355 3660 4026 4400 4575 4880 5368 6100 6600 6710 7320 8052 9150 10065 10736 12200 13200 13420 14640 16104 16775 18300 20130 24400 26840 32208 33550 36600 40260 50325 53680 67100 73200 80520 100650 134200 161040 201300 268400 402600 805200