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1128844080 = 243357135743
BaseRepresentation
bin100001101001000…
…1100101100110000
32220200010012222000
41003102030230300
54302441002310
6304003014000
736655005420
oct10322145460
92820105860
101128844080
1152a2262a1
1227606a300
1314cb3c7a0
14a9cca480
15691824c0
hex4348cb30

1128844080 has 320 divisors, whose sum is σ = 4786360320. Its totient is φ = 238132224.

The previous prime is 1128844051. The next prime is 1128844153. The reversal of 1128844080 is 804488211.

It is a happy number.

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

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, 193689 + ... + 199431.

It is an arithmetic number, because the mean of its divisors is an integer number (14957376).

Almost surely, 21128844080 is an apocalyptic number.

1128844080 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 1128844080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2393180160).

1128844080 is an abundant number, since it is smaller than the sum of its proper divisors (3657516240).

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

1128844080 is a wasteful number, since it uses less digits than its factorization.

1128844080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5785 (or 5773 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 1128844080 is about 33598.2749557176. The cubic root of 1128844080 is about 1041.2251587148.

It can be divided in two parts, 112884 and 4080, that added together give a square (116964 = 3422).

The spelling of 1128844080 in words is "one billion, one hundred twenty-eight million, eight hundred forty-four thousand, eighty".