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128694080 = 2651741577
BaseRepresentation
bin1111010101110…
…11011101000000
322222011100002102
413222323131000
5230421202310
620434205532
73121611254
oct752733500
9288140072
10128694080
116670a849
12371238a8
132087c258
1413140264
15b4718a5
hex7abb740

128694080 has 112 divisors (see below), whose sum is σ = 332969616. Its totient is φ = 47185920.

The previous prime is 128694061. The next prime is 128694127. The reversal of 128694080 is 80496821.

It can be written as a sum of positive squares in 8 ways, for example, as 2715904 + 125978176 = 1648^2 + 11224^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222752 + ... + 223328.

It is an arithmetic number, because the mean of its divisors is an integer number (2972943).

Almost surely, 2128694080 is an apocalyptic number.

128694080 is a gapful number since it is divisible by the number (10) 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 128694080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166484808).

128694080 is an abundant number, since it is smaller than the sum of its proper divisors (204275536).

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

128694080 is a wasteful number, since it uses less digits than its factorization.

128694080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 128694080 is about 11344.3413206761. The cubic root of 128694080 is about 504.8777013260.

The spelling of 128694080 in words is "one hundred twenty-eight million, six hundred ninety-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 41 64 68 80 82 85 136 160 164 170 205 272 320 328 340 410 544 577 656 680 697 820 1088 1154 1312 1360 1394 1640 2308 2624 2720 2788 2885 3280 3485 4616 5440 5576 5770 6560 6970 9232 9809 11152 11540 13120 13940 18464 19618 22304 23080 23657 27880 36928 39236 44608 46160 47314 49045 55760 78472 92320 94628 98090 111520 118285 156944 184640 189256 196180 223040 236570 313888 378512 392360 402169 473140 627776 757024 784720 804338 946280 1514048 1569440 1608676 1892560 2010845 3138880 3217352 3785120 4021690 6434704 7570240 8043380 12869408 16086760 25738816 32173520 64347040 128694080