Search a number
-
+
1103182416 = 24347277439
BaseRepresentation
bin100000111000001…
…0011101001010000
32211212211110210000
41001300103221100
54224403314131
6301245010000
736223616160
oct10160235120
92755743700
101103182416
11516799306
12269553900
1314772637b
14a672a5a0
1566cb3ce6
hex41c13a50

1103182416 has 200 divisors, whose sum is σ = 3670578560. Its totient is φ = 313341696.

The previous prime is 1103182391. The next prime is 1103182433. The reversal of 1103182416 is 6142813011.

It is a happy number.

It is a super-2 number, since 2×11031824162 = 2434022885943194112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1103182416.

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 39 ways as a sum of consecutive naturals, for example, 2512725 + ... + 2513163.

Almost surely, 21103182416 is an apocalyptic number.

1103182416 is a gapful number since it is divisible by the number (16) 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 1103182416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835289280).

1103182416 is an abundant number, since it is smaller than the sum of its proper divisors (2567396144).

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

1103182416 is a wasteful number, since it uses less digits than its factorization.

1103182416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1103182416 is about 33214.1899795855. The cubic root of 1103182416 is about 1033.2746553800.

Adding to 1103182416 its reverse (6142813011), we get a palindrome (7245995427).

The spelling of 1103182416 in words is "one billion, one hundred three million, one hundred eighty-two thousand, four hundred sixteen".