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1128116160 = 2634571613
BaseRepresentation
bin100001100111101…
…1010111111000000
32220121202020110000
41003033122333000
54302244204120
6303535240000
736645554253
oct10317327700
92817666400
101128116160
11529879406
12275979000
1314c946372
14a9b7b09a
156908b990
hex433dafc0

1128116160 has 280 divisors, whose sum is σ = 4076066016. Its totient is φ = 296110080.

The previous prime is 1128116147. The next prime is 1128116161. The reversal of 1128116160 is 616118211.

1128116160 is a `hidden beast` number, since 11 + 28 + 11 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1128116161) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1840014 + ... + 1840626.

Almost surely, 21128116160 is an apocalyptic number.

1128116160 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 1128116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038033008).

1128116160 is an abundant number, since it is smaller than the sum of its proper divisors (2947949856).

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

1128116160 is an equidigital number, since it uses as much as digits as its factorization.

1128116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 1128116160 is about 33587.4405098096. The cubic root of 1128116160 is about 1041.0013038876.

The spelling of 1128116160 in words is "one billion, one hundred twenty-eight million, one hundred sixteen thousand, one hundred sixty".