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128655072 = 25327134909
BaseRepresentation
bin1111010101100…
…01111011100000
322222002100120200
413222301323200
5230413430242
620433305200
73121356450
oct752617340
9288070520
10128655072
1166693507
1237105200
1320867580
141312dd60
15b46504c
hex7ab1ee0

128655072 has 144 divisors (see below), whose sum is σ = 450384480. Its totient is φ = 33924096.

The previous prime is 128655067. The next prime is 128655091. The reversal of 128655072 is 270556821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23754 + ... + 28662.

It is an arithmetic number, because the mean of its divisors is an integer number (3127670).

Almost surely, 2128655072 is an apocalyptic number.

128655072 is a gapful number since it is divisible by the number (12) 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 128655072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225192240).

128655072 is an abundant number, since it is smaller than the sum of its proper divisors (321729408).

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

128655072 is a wasteful number, since it uses less digits than its factorization.

128655072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4945 (or 4934 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 128655072 is about 11342.6219191155. The cubic root of 128655072 is about 504.8266856162.

The spelling of 128655072 in words is "one hundred twenty-eight million, six hundred fifty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2184 2912 3276 3744 4368 4909 6552 8736 9818 13104 14727 19636 26208 29454 34363 39272 44181 58908 63817 68726 78544 88362 103089 117816 127634 137452 157088 176724 191451 206178 235632 255268 274904 309267 353448 382902 412356 446719 471264 510536 549808 574353 618534 706896 765804 824712 893438 1021072 1099616 1148706 1237068 1340157 1413792 1531608 1649424 1786876 2042144 2297412 2474136 2680314 3063216 3298848 3573752 4020471 4594824 4948272 5360628 6126432 7147504 8040942 9189648 9896544 10721256 14295008 16081884 18379296 21442512 32163768 42885024 64327536 128655072