Search a number
BaseRepresentation
bin100010000010000000000
32002122200100
410100100000
5241141021
635522400
712323061
oct4202000
92078610
101115136
116a1900
12459400
13300759
14210568
15170626
hex110400

1115136 has 99 divisors (see below), whose sum is σ = 3539263. Its totient is φ = 337920.

The previous prime is 1115131. The next prime is 1115189. The reversal of 1115136 is 6315111.

The square root of 1115136 is 1056.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (99).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1115131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 101371 + ... + 101381.

21115136 is an apocalyptic number.

1115136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1115136 is the 1056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1115136

1115136 is an abundant number, since it is smaller than the sum of its proper divisors (2424127).

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

1115136 is a wasteful number, since it uses less digits than its factorization.

1115136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 16 counting only the distinct ones).

The product of its digits is 90, while the sum is 18.

The cubic root of 1115136 is about 103.6993288152.

The spelling of 1115136 in words is "one million, one hundred fifteen thousand, one hundred thirty-six".