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1139094528 = 210311132593
BaseRepresentation
bin100001111100101…
…0011010000000000
32221101101222221020
41003321103100000
54313102011103
6305010425440
740141100205
oct10371232000
92841358836
101139094528
11534a97640
12279592280
13151cbb340
14ab3d7cac
156a009753
hex43e53400

1139094528 has 176 divisors, whose sum is σ = 3568264896. Its totient is φ = 318504960.

The previous prime is 1139094511. The next prime is 1139094529. The reversal of 1139094528 is 8254909311.

It is a tau number, because it is divible by the number of its divisors (176).

It is a self number, because there is not a number n which added to its sum of digits gives 1139094528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1139094529) 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 15 ways as a sum of consecutive naturals, for example, 438000 + ... + 440592.

Almost surely, 21139094528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1139094528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784132448).

1139094528 is an abundant number, since it is smaller than the sum of its proper divisors (2429170368).

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

1139094528 is a wasteful number, since it uses less digits than its factorization.

1139094528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 1139094528 is about 33750.4744855535. The cubic root of 1139094528 is about 1044.3672758370.

The spelling of 1139094528 in words is "one billion, one hundred thirty-nine million, ninety-four thousand, five hundred twenty-eight".