Search a number
-
+
1112928768 = 2933723153
BaseRepresentation
bin100001001010101…
…1111001000000000
32212120011122021000
41002111133020000
54234402210033
6302233532000
736402511200
oct10225371000
92776148230
101112928768
11521245946
12270874000
13149759643
14a7b46400
1567a8ba13
hex4255f200

1112928768 has 480 divisors, whose sum is σ = 4030456320. Its totient is φ = 301916160.

The previous prime is 1112928689. The next prime is 1112928787. The reversal of 1112928768 is 8678292111.

It is a super-2 number, since 2×11129287682 = 2477220885283995648, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (96768) is a multiple of the sum of its prime divisors (96).

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 47 ways as a sum of consecutive naturals, for example, 20998630 + ... + 20998682.

It is an arithmetic number, because the mean of its divisors is an integer number (8396784).

Almost surely, 21112928768 is an apocalyptic number.

1112928768 is a gapful number since it is divisible by the number (18) 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 1112928768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015228160).

1112928768 is an abundant number, since it is smaller than the sum of its proper divisors (2917527552).

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

1112928768 is an equidigital number, since it uses as much as digits as its factorization.

1112928768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 96 counting only the distinct ones).

The product of its digits is 96768, while the sum is 45.

The square root of 1112928768 is about 33360.5870451945. The cubic root of 1112928768 is about 1036.3086492105.

The spelling of 1112928768 in words is "one billion, one hundred twelve million, nine hundred twenty-eight thousand, seven hundred sixty-eight".