Search a number
-
+
1100008 = 237131511
BaseRepresentation
bin100001100100011101000
32001212221001
410030203220
5240200013
635324344
712231010
oct4144350
92055831
101100008
116914a8
124506b4
132c68c0
14208c40
1516addd
hex10c8e8

1100008 has 32 divisors (see below), whose sum is σ = 2540160. Its totient is φ = 434880.

The previous prime is 1099997. The next prime is 1100009. The reversal of 1100008 is 8000011.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 1099967 and 1100003.

It is not an unprimeable number, because it can be changed into a prime (1100009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28 + ... + 1483.

It is an arithmetic number, because the mean of its divisors is an integer number (79380).

21100008 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 1100008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270080).

1100008 is an abundant number, since it is smaller than the sum of its proper divisors (1440152).

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

1100008 is a wasteful number, since it uses less digits than its factorization.

1100008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1100008 is about 1048.8126620136. The cubic root of 1100008 is about 103.2282617948.

Adding to 1100008 its reverse (8000011), we get a palindrome (9100019).

The spelling of 1100008 in words is "one million, one hundred thousand, eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 1511 3022 6044 10577 12088 19643 21154 39286 42308 78572 84616 137501 157144 275002 550004 1100008