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1134025728 = 21031137907
BaseRepresentation
bin100001110010111…
…1101110000000000
32221000212110211220
41003211331300000
54310302310403
6304310035040
740050026313
oct10345756000
92830773756
101134025728
11532145350
12277948a80
13150c35154
14aa87897a
1569857953
hex4397dc00

1134025728 has 176 divisors, whose sum is σ = 3390225024. Its totient is φ = 333987840.

The previous prime is 1134025723. The next prime is 1134025751. The reversal of 1134025728 is 8275204311.

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

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134025723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1249851 + ... + 1250757.

Almost surely, 21134025728 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 1134025728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695112512).

1134025728 is an abundant number, since it is smaller than the sum of its proper divisors (2256199296).

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

1134025728 is a wasteful number, since it uses less digits than its factorization.

1134025728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 1134025728 is about 33675.2984842006. The cubic root of 1134025728 is about 1042.8158797567.

The spelling of 1134025728 in words is "one billion, one hundred thirty-four million, twenty-five thousand, seven hundred twenty-eight".