Search a number
-
+
128127640 = 235171947211
BaseRepresentation
bin1111010001100…
…01001010011000
322221002120002011
413220301022120
5230300041030
620414115304
73114031654
oct750611230
9287076064
10128127640
1166363213
1236aabb34
1320711494
1413033a64
15b3adb2a
hex7a31298

128127640 has 128 divisors (see below), whose sum is σ = 329702400. Its totient is φ = 44513280.

The previous prime is 128127631. The next prime is 128127677. The reversal of 128127640 is 46721821.

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, 607135 + ... + 607345.

It is an arithmetic number, because the mean of its divisors is an integer number (2575800).

Almost surely, 2128127640 is an apocalyptic number.

128127640 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 128127640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164851200).

128127640 is an abundant number, since it is smaller than the sum of its proper divisors (201574760).

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

128127640 is a wasteful number, since it uses less digits than its factorization.

128127640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 128127640 is about 11319.3480377626. The cubic root of 128127640 is about 504.1358813097.

The spelling of 128127640 in words is "one hundred twenty-eight million, one hundred twenty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 47 68 76 85 94 95 136 152 170 188 190 211 235 323 340 376 380 422 470 646 680 760 799 844 893 940 1055 1292 1598 1615 1688 1786 1880 2110 2584 3196 3230 3572 3587 3995 4009 4220 4465 6392 6460 7144 7174 7990 8018 8440 8930 9917 12920 14348 15181 15980 16036 17860 17935 19834 20045 28696 30362 31960 32072 35720 35870 39668 40090 49585 60724 68153 71740 75905 79336 80180 99170 121448 136306 143480 151810 160360 168589 188423 198340 272612 303620 337178 340765 376846 396680 545224 607240 674356 681530 753692 842945 942115 1348712 1363060 1507384 1685890 1884230 2726120 3203191 3371780 3768460 6406382 6743560 7536920 12812764 16015955 25625528 32031910 64063820 128127640