Search a number
-
+
11070000 = 24335441
BaseRepresentation
bin101010001110…
…101000110000
3202211102012000
4222032220300
510313220000
61033134000
7163044024
oct52165060
922742160
1011070000
116281067
12385a300
1323a78c6
141682384
15e8a000
hexa8ea30

11070000 has 200 divisors, whose sum is σ = 40674480. Its totient is φ = 2880000.

The previous prime is 11069999. The next prime is 11070001. The reversal of 11070000 is 7011.

It is an interprime number because it is at equal distance from previous prime (11069999) and next prime (11070001).

It is a tau number, because it is divible by the number of its divisors (200).

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

It is not an unprimeable number, because it can be changed into a prime (11070001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 269980 + ... + 270020.

Almost surely, 211070000 is an apocalyptic number.

11070000 is a gapful number since it is divisible by the number (10) 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 11070000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20337240).

11070000 is an abundant number, since it is smaller than the sum of its proper divisors (29604480).

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

11070000 is an equidigital number, since it uses as much as digits as its factorization.

11070000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 9.

The square root of 11070000 is about 3327.1609519228. The cubic root of 11070000 is about 222.8687652434.

Adding to 11070000 its reverse (7011), we get a palindrome (11077011).

The spelling of 11070000 in words is "eleven million, seventy thousand".