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128053792 = 2517298117
BaseRepresentation
bin1111010000111…
…11001000100000
322220221210210001
413220133020200
5230240210132
620412345344
73113303446
oct750371040
9286853701
10128053792
1166312789
1236a75254
13206b6999
1413014b96
15b396ce7
hex7a1f220

128053792 has 48 divisors (see below), whose sum is σ = 276174360. Its totient is φ = 58175488.

The previous prime is 128053789. The next prime is 128053799. The reversal of 128053792 is 297350821.

It can be written as a sum of positive squares in 4 ways, for example, as 128051856 + 1936 = 11316^2 + 44^2 .

It is not an unprimeable number, because it can be changed into a prime (128053799) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11718 + ... + 19834.

Almost surely, 2128053792 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 128053792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138087180).

128053792 is an abundant number, since it is smaller than the sum of its proper divisors (148120568).

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

128053792 is a wasteful number, since it uses less digits than its factorization.

128053792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8173 (or 8165 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 128053792 is about 11316.0855422712. The cubic root of 128053792 is about 504.0390076469.

The spelling of 128053792 in words is "one hundred twenty-eight million, fifty-three thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 17 29 32 34 58 68 116 136 232 272 464 493 544 928 986 1972 3944 7888 8117 15776 16234 32468 64936 129872 137989 235393 259744 275978 470786 551956 941572 1103912 1883144 2207824 3766288 4001681 4415648 7532576 8003362 16006724 32013448 64026896 128053792