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128348860 = 22541193811
BaseRepresentation
bin1111010011001…
…11001010111100
322221111210112111
413221213022330
5230324130420
620422543404
73115642633
oct751471274
9287453474
10128348860
11664a4442
1236b97b64
132078b093
141309051a
15b40445a
hex7a672bc

128348860 has 48 divisors (see below), whose sum is σ = 277879392. Its totient is φ = 49766400.

The previous prime is 128348839. The next prime is 128348863. The reversal of 128348860 is 68843821.

It is a super-3 number, since 3×1283488603 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128348863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157855 + ... + 158665.

It is an arithmetic number, because the mean of its divisors is an integer number (5789154).

Almost surely, 2128348860 is an apocalyptic number.

128348860 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 128348860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138939696).

128348860 is an abundant number, since it is smaller than the sum of its proper divisors (149530532).

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

128348860 is a wasteful number, since it uses less digits than its factorization.

128348860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 128348860 is about 11329.1155877235. The cubic root of 128348860 is about 504.4258546945.

The spelling of 128348860 in words is "one hundred twenty-eight million, three hundred forty-eight thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 20 41 82 164 193 205 386 410 772 811 820 965 1622 1930 3244 3860 4055 7913 8110 15826 16220 31652 33251 39565 66502 79130 133004 156523 158260 166255 313046 332510 626092 665020 782615 1565230 3130460 6417443 12834886 25669772 32087215 64174430 128348860