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128273652 = 223313211433
BaseRepresentation
bin1111010010101…
…00110011110100
322221100222101000
413221110303310
5230314224102
620421203300
73115210443
oct751246364
9287328330
10128273652
1166452991
1236b60530
1320762a90
1413070d5a
15b3dc01c
hex7a54cf4

128273652 has 96 divisors (see below), whose sum is σ = 360671360. Its totient is φ = 39191040.

The previous prime is 128273627. The next prime is 128273659. The reversal of 128273652 is 256372821.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128273659) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296028 + ... + 296460.

Almost surely, 2128273652 is an apocalyptic number.

128273652 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 128273652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180335680).

128273652 is an abundant number, since it is smaller than the sum of its proper divisors (232397708).

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

128273652 is a wasteful number, since it uses less digits than its factorization.

128273652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 662 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 128273652 is about 11325.7958660749. The cubic root of 128273652 is about 504.3273100665.

The spelling of 128273652 in words is "one hundred twenty-eight million, two hundred seventy-three thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 211 234 351 422 433 468 633 702 844 866 1266 1299 1404 1732 1899 2532 2598 2743 3798 3897 5196 5486 5629 5697 7596 7794 8229 10972 11258 11394 11691 15588 16458 16887 22516 22788 23382 24687 32916 33774 46764 49374 50661 67548 74061 91363 98748 101322 148122 151983 182726 202644 274089 296244 303966 365452 548178 607932 822267 1096356 1187719 1644534 2375438 2466801 3289068 3563157 4750876 4933602 7126314 9867204 10689471 14252628 21378942 32068413 42757884 64136826 128273652