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1116480960 = 26325755381
BaseRepresentation
bin100001010001100…
…0010010111000000
32212210212002221200
41002203002113000
54241304342320
6302442021200
736444634350
oct10243022700
92783762850
101116480960
11523251741
12271aa7800
1314a40142a
14a83ccb60
156803e290
hex428c25c0

1116480960 has 168 divisors, whose sum is σ = 4388912736. Its totient is φ = 255191040.

The previous prime is 1116480949. The next prime is 1116480971. The reversal of 1116480960 is 690846111.

It is a happy number.

1116480960 is a `hidden beast` number, since 1 + 1 + 1 + 648 + 0 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1116480949) and next prime (1116480971).

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7531 + ... + 47850.

Almost surely, 21116480960 is an apocalyptic number.

1116480960 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 1116480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194456368).

1116480960 is an abundant number, since it is smaller than the sum of its proper divisors (3272431776).

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

1116480960 is a wasteful number, since it uses less digits than its factorization.

1116480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55411 (or 55398 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1116480960 is about 33413.7839820635. The cubic root of 1116480960 is about 1037.4100248097.

The spelling of 1116480960 in words is "one billion, one hundred sixteen million, four hundred eighty thousand, nine hundred sixty".