Search a number
-
+
128539296 = 25321313407
BaseRepresentation
bin1111010100101…
…01101010100000
322221212110202200
413222111222200
5230401224141
620431013200
73120365064
oct752255240
9287773680
10128539296
1166614526
123706a200
1320826972
14130ddaa4
15b440ab6
hex7a95aa0

128539296 has 72 divisors (see below), whose sum is σ = 368432064. Its totient is φ = 42506880.

The previous prime is 128539253. The next prime is 128539319. The reversal of 128539296 is 692935821.

128539296 is a `hidden beast` number, since 1 + 28 + 539 + 2 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 36025 + ... + 39431.

It is an arithmetic number, because the mean of its divisors is an integer number (5117112).

Almost surely, 2128539296 is an apocalyptic number.

128539296 is a gapful number since it is divisible by the number (16) 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 128539296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184216032).

128539296 is an abundant number, since it is smaller than the sum of its proper divisors (239892768).

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

128539296 is a wasteful number, since it uses less digits than its factorization.

128539296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3554 (or 3543 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 128539296 is about 11337.5171885206. The cubic root of 128539296 is about 504.6752099063.

The spelling of 128539296 in words is "one hundred twenty-eight million, five hundred thirty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 131 144 262 288 393 524 786 1048 1179 1572 2096 2358 3144 3407 4192 4716 6288 6814 9432 10221 12576 13628 18864 20442 27256 30663 37728 40884 54512 61326 81768 109024 122652 163536 245304 327072 446317 490608 892634 981216 1338951 1785268 2677902 3570536 4016853 5355804 7141072 8033706 10711608 14282144 16067412 21423216 32134824 42846432 64269648 128539296