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128121140 = 22573153557
BaseRepresentation
bin1111010001011…
…11100100110100
322221002020011102
413220233210310
5230244334030
620414025232
73114004010
oct750574464
9287066142
10128121140
1166359344
1236aa8218
132070b534
1413031540
15b3abc45
hex7a2f934

128121140 has 96 divisors (see below), whose sum is σ = 323979264. Its totient is φ = 41633280.

The previous prime is 128121139. The next prime is 128121151. The reversal of 128121140 is 41121821.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229742 + ... + 230298.

It is an arithmetic number, because the mean of its divisors is an integer number (3374784).

Almost surely, 2128121140 is an apocalyptic number.

128121140 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 128121140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161989632).

128121140 is an abundant number, since it is smaller than the sum of its proper divisors (195858124).

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

128121140 is a wasteful number, since it uses less digits than its factorization.

128121140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 128121140 is about 11319.0609151113. The cubic root of 128121140 is about 504.1273561166.

Adding to 128121140 its reverse (41121821), we get a palindrome (169242961).

The spelling of 128121140 in words is "one hundred twenty-eight million, one hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 53 62 70 106 124 140 155 212 217 265 310 371 434 530 557 620 742 868 1060 1085 1114 1484 1643 1855 2170 2228 2785 3286 3710 3899 4340 5570 6572 7420 7798 8215 11140 11501 15596 16430 17267 19495 23002 29521 32860 34534 38990 46004 57505 59042 69068 77980 86335 115010 118084 120869 147605 172670 206647 230020 241738 295210 345340 413294 483476 590420 604345 826588 915151 1033235 1208690 1830302 2066470 2417380 3660604 4132940 4575755 6406057 9151510 12812114 18303020 25624228 32030285 64060570 128121140