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1112797440 = 2834510733
BaseRepresentation
bin100001001010011…
…1111000100000000
32212112220222010000
41002110333010000
54234334004230
6302231040000
736401423256
oct10224770400
92775828100
101112797440
11521166207
12270810000
13149711931
14a7b105d6
1567a62b60
hex4253f100

1112797440 has 180 divisors, whose sum is σ = 3982163724. Its totient is φ = 296718336.

The previous prime is 1112797337. The next prime is 1112797457. The reversal of 1112797440 is 447972111.

1112797440 is a `hidden beast` number, since 1 + 1 + 127 + 97 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 224280576 + 888516864 = 14976^2 + 29808^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a junction number, because it is equal to n+sod(n) for n = 1112797395 and 1112797404.

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 19 ways as a sum of consecutive naturals, for example, 98314 + ... + 109046.

Almost surely, 21112797440 is an apocalyptic number.

1112797440 is a gapful number since it is divisible by the number (10) 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 1112797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991081862).

1112797440 is an abundant number, since it is smaller than the sum of its proper divisors (2869366284).

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

1112797440 is an equidigital number, since it uses as much as digits as its factorization.

1112797440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10766 (or 10743 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 1112797440 is about 33358.6186764380. The cubic root of 1112797440 is about 1036.2678853869.

The spelling of 1112797440 in words is "one billion, one hundred twelve million, seven hundred ninety-seven thousand, four hundred forty".