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128390940 = 22335733257
BaseRepresentation
bin1111010011100…
…01011100011100
322221120221021000
413221301130130
5230332002230
620423510300
73116206416
oct751613434
9287527230
10128390940
1166523017
1236bb8390
13207a4292
14130a19b6
15b411b60
hex7a7171c

128390940 has 96 divisors (see below), whose sum is σ = 405034560. Its totient is φ = 33758208.

The previous prime is 128390893. The next prime is 128390959. The reversal of 128390940 is 49093821.

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

It is a junction number, because it is equal to n+sod(n) for n = 128390895 and 128390904.

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, 37792 + ... + 41048.

It is an arithmetic number, because the mean of its divisors is an integer number (4219110).

Almost surely, 2128390940 is an apocalyptic number.

128390940 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 128390940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202517280).

128390940 is an abundant number, since it is smaller than the sum of its proper divisors (276643620).

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

128390940 is a wasteful number, since it uses less digits than its factorization.

128390940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 128390940 is about 11330.9725972663. The cubic root of 128390940 is about 504.4809750923.

The spelling of 128390940 in words is "one hundred twenty-eight million, three hundred ninety thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 73 90 108 135 146 180 219 270 292 365 438 540 657 730 876 1095 1314 1460 1971 2190 2628 3257 3285 3942 4380 6514 6570 7884 9771 9855 13028 13140 16285 19542 19710 29313 32570 39084 39420 48855 58626 65140 87939 97710 117252 146565 175878 195420 237761 293130 351756 439695 475522 586260 713283 879390 951044 1188805 1426566 1758780 2139849 2377610 2853132 3566415 4279698 4755220 6419547 7132830 8559396 10699245 12839094 14265660 21398490 25678188 32097735 42796980 64195470 128390940