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128801340 = 22345433
BaseRepresentation
bin1111010110101…
…01101000111100
322222100210020000
413223111220330
5230433120330
620440354300
73122536053
oct753255074
9288323200
10128801340
1166783398
1237175990
13208b9015
141316b39a
15b493560
hex7ad5a3c

128801340 has 120 divisors (see below), whose sum is σ = 413674800. Its totient is φ = 33548256.

The previous prime is 128801327. The next prime is 128801341. The reversal of 128801340 is 43108821.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 645 × 387 × 516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128801341) 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, 2995359 + ... + 2995401.

It is an arithmetic number, because the mean of its divisors is an integer number (3447290).

Almost surely, 2128801340 is an apocalyptic number.

128801340 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 128801340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206837400).

128801340 is an abundant number, since it is smaller than the sum of its proper divisors (284873460).

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

128801340 is an frugal number, since it uses more digits than its factorization.

128801340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 128801340 is about 11349.0678031281. The cubic root of 128801340 is about 505.0179257108.

The spelling of 128801340 in words is "one hundred twenty-eight million, eight hundred one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 81 86 90 108 129 135 162 172 180 215 258 270 324 387 405 430 516 540 645 774 810 860 1161 1290 1548 1620 1849 1935 2322 2580 3483 3698 3870 4644 5547 5805 6966 7396 7740 9245 11094 11610 13932 16641 17415 18490 22188 23220 27735 33282 34830 36980 49923 55470 66564 69660 79507 83205 99846 110940 149769 159014 166410 199692 238521 249615 299538 318028 332820 397535 477042 499230 599076 715563 748845 795070 954084 998460 1192605 1431126 1497690 1590140 2146689 2385210 2862252 2995380 3577815 4293378 4770420 6440067 7155630 8586756 10733445 12880134 14311260 21466890 25760268 32200335 42933780 64400670 128801340