Search a number
-
+
8100000 = 253455
BaseRepresentation
bin11110111001100010100000
3120020112010000
4132321202200
54033200000
6445340000
7125564106
oct36714240
916215100
108100000
114632717
122867600
1318a7acc
14110bc76
15aa0000
hex7b98a0

8100000 has 180 divisors, whose sum is σ = 29775438. Its totient is φ = 2160000.

The previous prime is 8099999. The next prime is 8100073. The reversal of 8100000 is 18.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 11664 + 8088336 = 108^2 + 2844^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×81000002 = 131220000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10 and base 15.

It is a zygodrome in base 15.

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 29 ways as a sum of consecutive naturals, for example, 1619998 + ... + 1620002.

Almost surely, 28100000 is an apocalyptic number.

8100000 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 8100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14887719).

8100000 is an abundant number, since it is smaller than the sum of its proper divisors (21675438).

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

8100000 is an frugal number, since it uses more digits than its factorization.

8100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 8100000 is about 2846.0498941515. The cubic root of 8100000 is about 200.8298850247.

Adding to 8100000 its reverse (18), we get a palindrome (8100018).

The spelling of 8100000 in words is "eight million, one hundred thousand".