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128508864 = 2631171857
BaseRepresentation
bin1111010100011…
…10001111000000
322221210221000120
413222032033000
5230344240424
620430220240
73120210261
oct752161700
9287727016
10128508864
11665a3680
1237054680
1320815b63
14130d2968
15b436a79
hex7a8e3c0

128508864 has 112 divisors (see below), whose sum is σ = 376586496. Its totient is φ = 38348800.

The previous prime is 128508839. The next prime is 128508869. The reversal of 128508864 is 468805821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128508869) 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, 149524 + ... + 150380.

Almost surely, 2128508864 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 128508864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188293248).

128508864 is an abundant number, since it is smaller than the sum of its proper divisors (248077632).

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

128508864 is a wasteful number, since it uses less digits than its factorization.

128508864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 128508864 is about 11336.1750162919. The cubic root of 128508864 is about 504.6353790564.

The spelling of 128508864 in words is "one hundred twenty-eight million, five hundred eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 71 88 96 132 142 176 192 213 264 284 352 426 528 568 704 781 852 857 1056 1136 1562 1704 1714 2112 2272 2343 2571 3124 3408 3428 4544 4686 5142 6248 6816 6856 9372 9427 10284 12496 13632 13712 18744 18854 20568 24992 27424 28281 37488 37708 41136 49984 54848 56562 60847 74976 75416 82272 113124 121694 149952 150832 164544 182541 226248 243388 301664 365082 452496 486776 603328 669317 730164 904992 973552 1338634 1460328 1809984 1947104 2007951 2677268 2920656 3894208 4015902 5354536 5841312 8031804 10709072 11682624 16063608 21418144 32127216 42836288 64254432 128508864