Search a number
-
+
1113636816 = 2433171923347
BaseRepresentation
bin100001001100000…
…1011111111010000
32212121111121112000
41002120023333100
54240042334231
6302301034000
736411520365
oct10230137720
92777447460
101113636816
11521689906
12270b55900
131499469c6
14a7c8c46c
1567b7b6e6
hex4260bfd0

1113636816 has 320 divisors, whose sum is σ = 3728332800. Its totient is φ = 315684864.

The previous prime is 1113636791. The next prime is 1113636829. The reversal of 1113636816 is 6186363111.

1113636816 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 636 + 8 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3209155 + ... + 3209501.

It is an arithmetic number, because the mean of its divisors is an integer number (11651040).

Almost surely, 21113636816 is an apocalyptic number.

1113636816 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 1113636816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864166400).

1113636816 is an abundant number, since it is smaller than the sum of its proper divisors (2614695984).

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

1113636816 is a wasteful number, since it uses less digits than its factorization.

1113636816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 411 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 1113636816 is about 33371.1974013520. The cubic root of 1113636816 is about 1036.5283699859.

Adding to 1113636816 its reverse (6186363111), we get a palindrome (7299999927).

The spelling of 1113636816 in words is "one billion, one hundred thirteen million, six hundred thirty-six thousand, eight hundred sixteen".