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1116113040 = 24335797761
BaseRepresentation
bin100001010000110…
…1000100010010000
32212210011102021000
41002201220202100
54241211104130
6302430102000
736441542610
oct10241504220
92783142230
101116113040
11523020279
1227194a900
1314a302b23
14a8334a40
1567eba260
hex42868890

1116113040 has 320 divisors, whose sum is σ = 4444715520. Its totient is φ = 252149760.

The previous prime is 1116113039. The next prime is 1116113059. The reversal of 1116113040 is 403116111.

1116113040 is a `hidden beast` number, since 1 + 11 + 611 + 3 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1466260 + ... + 1467020.

It is an arithmetic number, because the mean of its divisors is an integer number (13889736).

Almost surely, 21116113040 is an apocalyptic number.

1116113040 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 1116113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222357760).

1116113040 is an abundant number, since it is smaller than the sum of its proper divisors (3328602480).

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

1116113040 is a wasteful number, since it uses less digits than its factorization.

1116113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1116113040 is about 33408.2780160846. The cubic root of 1116113040 is about 1037.2960578475.

Adding to 1116113040 its reverse (403116111), we get a palindrome (1519229151).

The spelling of 1116113040 in words is "one billion, one hundred sixteen million, one hundred thirteen thousand, forty".