Search a number
-
+
128258904 = 2333126783
BaseRepresentation
bin1111010010100…
…01001101011000
322221100020010210
413221101031120
5230313241104
620421011120
73115116444
oct751211530
9287306123
10128258904
11664428a4
1236b53aa0
1320759157
1413069824
15b3d7989
hex7a51358

128258904 has 96 divisors (see below), whose sum is σ = 340320960. Its totient is φ = 40265280.

The previous prime is 128258903. The next prime is 128258939. The reversal of 128258904 is 409852821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128258903) 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 23 ways as a sum of consecutive naturals, for example, 1545247 + ... + 1545329.

It is an arithmetic number, because the mean of its divisors is an integer number (3545010).

Almost surely, 2128258904 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 128258904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170160480).

128258904 is an abundant number, since it is smaller than the sum of its proper divisors (212062056).

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

128258904 is a wasteful number, since it uses less digits than its factorization.

128258904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 128258904 is about 11325.1447672866. The cubic root of 128258904 is about 504.3079813264.

The spelling of 128258904 in words is "one hundred twenty-eight million, two hundred fifty-eight thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 24 31 62 67 83 93 124 134 166 186 201 248 249 268 332 372 402 498 536 664 744 804 961 996 1608 1922 1992 2077 2573 2883 3844 4154 5146 5561 5766 6231 7688 7719 8308 10292 11122 11532 12462 15438 16616 16683 20584 22244 23064 24924 30876 33366 44488 49848 61752 64387 66732 79763 128774 133464 159526 172391 193161 239289 257548 319052 344782 386322 478578 515096 517173 638104 689564 772644 957156 1034346 1379128 1545288 1914312 2068692 4137384 5344121 10688242 16032363 21376484 32064726 42752968 64129452 128258904