Search a number
-
+
8196500 = 225313297
BaseRepresentation
bin11111010001000110010100
3120102102111002
4133101012110
54044242000
6451402432
7126445334
oct37210624
916372432
108196500
114699174
1228b3418
13190ca00
1411350c4
15abd8d5
hex7d1194

8196500 has 72 divisors (see below), whose sum is σ = 19583928. Its totient is φ = 2995200.

The previous prime is 8196497. The next prime is 8196511. The reversal of 8196500 is 56918.

It can be written as a sum of positive squares in 12 ways, for example, as 7997584 + 198916 = 2828^2 + 446^2 .

It is a super-2 number, since 2×81965002 = 134365224500000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 84452 + ... + 84548.

It is an arithmetic number, because the mean of its divisors is an integer number (271999).

Almost surely, 28196500 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 8196500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9791964).

8196500 is an abundant number, since it is smaller than the sum of its proper divisors (11387428).

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

8196500 is a wasteful number, since it uses less digits than its factorization.

8196500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 8196500 is about 2862.9530209209. The cubic root of 8196500 is about 201.6242729760.

The spelling of 8196500 in words is "eight million, one hundred ninety-six thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 97 100 125 130 169 194 250 260 325 338 388 485 500 650 676 845 970 1261 1300 1625 1690 1940 2425 2522 3250 3380 4225 4850 5044 6305 6500 8450 9700 12125 12610 16393 16900 21125 24250 25220 31525 32786 42250 48500 63050 65572 81965 84500 126100 157625 163930 315250 327860 409825 630500 819650 1639300 2049125 4098250 8196500