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128034882 = 232192341397
BaseRepresentation
bin1111010000110…
…10100001000010
322220220211211200
413220122201002
5230234104012
620412122030
73113164353
oct750324102
9286824750
10128034882
11662aa558
1236a66316
13206ab1b1
141300bd2a
15b3913dc
hex7a1a842

128034882 has 96 divisors (see below), whose sum is σ = 312923520. Its totient is φ = 37635840.

The previous prime is 128034853. The next prime is 128034883. The reversal of 128034882 is 288430821.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (128034883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 322308 + ... + 322704.

It is an arithmetic number, because the mean of its divisors is an integer number (3259620).

Almost surely, 2128034882 is an apocalyptic number.

128034882 is the 5658-th decagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128034882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156461760).

128034882 is an abundant number, since it is smaller than the sum of its proper divisors (184888638).

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

128034882 is a wasteful number, since it uses less digits than its factorization.

128034882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 128034882 is about 11315.2499751442. The cubic root of 128034882 is about 504.0141955563.

The spelling of 128034882 in words is "one hundred twenty-eight million, thirty-four thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 9 18 19 23 38 41 46 57 69 82 114 123 138 171 207 246 342 369 397 414 437 738 779 794 874 943 1191 1311 1558 1886 2337 2382 2622 2829 3573 3933 4674 5658 7011 7146 7543 7866 8487 9131 14022 15086 16277 16974 17917 18262 22629 27393 32554 35834 45258 48831 53751 54786 67887 82179 97662 107502 135774 146493 161253 164358 173489 292986 309263 322506 346978 374371 520467 618526 748742 927789 1040934 1123113 1561401 1855578 2246226 2783367 3122802 3369339 5566734 6738678 7113049 14226098 21339147 42678294 64017441 128034882