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1128834720 = 2532513471283
BaseRepresentation
bin100001101001000…
…1010011010100000
32220200002202010100
41003102022122200
54302440202340
6304002502400
736654636216
oct10322123240
92820082110
101128834720
1152a21a262
12276064a00
1314cb38450
14a9cc6cb6
156917e830
hex4348a6a0

1128834720 has 288 divisors, whose sum is σ = 4240035072. Its totient is φ = 271742976.

The previous prime is 1128834689. The next prime is 1128834727. The reversal of 1128834720 is 274388211.

1128834720 is a `hidden beast` number, since 11 + 288 + 347 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (1128834727) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 879199 + ... + 880481.

It is an arithmetic number, because the mean of its divisors is an integer number (14722344).

Almost surely, 21128834720 is an apocalyptic number.

1128834720 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 1128834720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120017536).

1128834720 is an abundant number, since it is smaller than the sum of its proper divisors (3111200352).

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

1128834720 is a wasteful number, since it uses less digits than its factorization.

1128834720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1128834720 is about 33598.1356625632. The cubic root of 1128834720 is about 1041.2222808758. Note that the first 4 decimals are identical.

The spelling of 1128834720 in words is "one billion, one hundred twenty-eight million, eight hundred thirty-four thousand, seven hundred twenty".