Search a number
-
+
1103612016 = 243131768609
BaseRepresentation
bin100000111000111…
…1100100001110000
32211220122022002010
41001301330201300
54230011041031
6301302122520
736230355513
oct10161744160
92756568063
101103612016
11516a62051
12269720440
13147846a80
14a67dcd7a
1566d4b246
hex41c7c870

1103612016 has 40 divisors (see below), whose sum is σ = 3070306960. Its totient is φ = 339572736.

The previous prime is 1103611991. The next prime is 1103612033. The reversal of 1103612016 is 6102163011.

It is a junction number, because it is equal to n+sod(n) for n = 1103611983 and 1103612001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 883681 + ... + 884928.

It is an arithmetic number, because the mean of its divisors is an integer number (76757674).

Almost surely, 21103612016 is an apocalyptic number.

1103612016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1103612016 is an abundant number, since it is smaller than the sum of its proper divisors (1966694944).

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

1103612016 is a wasteful number, since it uses less digits than its factorization.

1103612016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768633 (or 1768627 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 1103612016 is about 33220.6564655186. The cubic root of 1103612016 is about 1033.4087635075.

Adding to 1103612016 its reverse (6102163011), we get a palindrome (7205775027).

The spelling of 1103612016 in words is "one billion, one hundred three million, six hundred twelve thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1768609 3537218 5305827 7074436 10611654 14148872 21223308 22991917 28297744 42446616 45983834 68975751 84893232 91967668 137951502 183935336 275903004 367870672 551806008 1103612016