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128946636 = 223272135623
BaseRepresentation
bin1111010111110…
…01000111001100
322222122011112100
413223321013030
5231002243021
620443435100
73124012500
oct753710714
9288564470
10128946636
1166872575
1237225a90
132093a1b0
14131a8300
15b4c1626
hex7af91cc

128946636 has 108 divisors (see below), whose sum is σ = 408403632. Its totient is φ = 34001856.

The previous prime is 128946617. The next prime is 128946641. The reversal of 128946636 is 636649821.

128946636 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 4 + 6 + 636 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 128946591 and 128946600.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20121 + ... + 25743.

Almost surely, 2128946636 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 128946636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204201816).

128946636 is an abundant number, since it is smaller than the sum of its proper divisors (279456996).

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

128946636 is a wasteful number, since it uses less digits than its factorization.

128946636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5660 (or 5648 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 128946636 is about 11355.4672294891. The cubic root of 128946636 is about 505.2077516616.

The spelling of 128946636 in words is "one hundred twenty-eight million, nine hundred forty-six thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 364 441 468 546 588 637 819 882 1092 1274 1638 1764 1911 2548 3276 3822 5623 5733 7644 11246 11466 16869 22492 22932 33738 39361 50607 67476 73099 78722 101214 118083 146198 157444 202428 219297 236166 275527 292396 354249 438594 472332 511693 551054 657891 708498 826581 877188 1023386 1102108 1315782 1416996 1535079 1653162 2046772 2479743 2631564 3070158 3306324 3581851 4605237 4959486 6140316 7163702 9210474 9918972 10745553 14327404 18420948 21491106 32236659 42982212 64473318 128946636