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1129789440 = 211325132341
BaseRepresentation
bin100001101010111…
…0011100000000000
32220201220020202100
41003111303200000
54303211230230
6304035150400
736666023523
oct10325634000
92821806670
101129789440
1152a81158a
12276445400
131500b0b80
14aa094bba
15692bc660
hex43573800

1129789440 has 576 divisors, whose sum is σ = 4507513920. Its totient is φ = 259522560.

The previous prime is 1129789429. The next prime is 1129789447. The reversal of 1129789440 is 449879211.

It is a happy number.

1129789440 is a `hidden beast` number, since 1 + 129 + 7 + 89 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1129789447) 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, 27555820 + ... + 27555860.

It is an arithmetic number, because the mean of its divisors is an integer number (7825545).

Almost surely, 21129789440 is an apocalyptic number.

1129789440 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 1129789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253756960).

1129789440 is an abundant number, since it is smaller than the sum of its proper divisors (3377724480).

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

1129789440 is a wasteful number, since it uses less digits than its factorization.

1129789440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1129789440 is about 33612.3405909199. The cubic root of 1129789440 is about 1041.5157385454.

The spelling of 1129789440 in words is "one billion, one hundred twenty-nine million, seven hundred eighty-nine thousand, four hundred forty".