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128235000 = 2335483103
BaseRepresentation
bin1111010010010…
…11010111111000
322221022000100110
413221023113320
5230312010000
620420304320
73114656655
oct751132770
9287260313
10128235000
1166426943
1236b420a0
132074b2ca
1413060c2c
15b3d0850
hex7a4b5f8

128235000 has 160 divisors (see below), whose sum is σ = 409368960. Its totient is φ = 33456000.

The previous prime is 128234989. The next prime is 128235001. The reversal of 128235000 is 532821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128235001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1244949 + ... + 1245051.

It is an arithmetic number, because the mean of its divisors is an integer number (2558556).

Almost surely, 2128235000 is an apocalyptic number.

128235000 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 128235000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204684480).

128235000 is an abundant number, since it is smaller than the sum of its proper divisors (281133960).

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

128235000 is a wasteful number, since it uses less digits than its factorization.

128235000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 128235000 is about 11324.0893673620. The cubic root of 128235000 is about 504.2766495784.

Adding to 128235000 its reverse (532821), we get a palindrome (128767821).

The spelling of 128235000 in words is "one hundred twenty-eight million, two hundred thirty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 83 100 103 120 125 150 166 200 206 249 250 300 309 332 375 412 415 498 500 515 600 618 625 664 750 824 830 996 1000 1030 1236 1245 1250 1500 1545 1660 1875 1992 2060 2075 2472 2490 2500 2575 3000 3090 3320 3750 4120 4150 4980 5000 5150 6180 6225 7500 7725 8300 8549 9960 10300 10375 12360 12450 12875 15000 15450 16600 17098 20600 20750 24900 25647 25750 30900 31125 34196 38625 41500 42745 49800 51294 51500 51875 61800 62250 64375 68392 77250 83000 85490 102588 103000 103750 124500 128235 128750 154500 155625 170980 193125 205176 207500 213725 249000 256470 257500 309000 311250 341960 386250 415000 427450 512940 515000 622500 641175 772500 854900 1025880 1068625 1245000 1282350 1545000 1709800 2137250 2564700 3205875 4274500 5129400 5343125 6411750 8549000 10686250 12823500 16029375 21372500 25647000 32058750 42745000 64117500 128235000