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128130720 = 25351731543
BaseRepresentation
bin1111010001100…
…01111010100000
322221002201022020
413220301322200
5230300140340
620414141440
73114043644
oct750617240
9287081266
10128130720
1166365563
1236ab1880
13207129c3
1413034c24
15b3ae9d0
hex7a31ea0

128130720 has 96 divisors (see below), whose sum is σ = 406207872. Its totient is φ = 33948672.

The previous prime is 128130703. The next prime is 128130763. The reversal of 128130720 is 27031821.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82269 + ... + 83811.

It is an arithmetic number, because the mean of its divisors is an integer number (4231332).

Almost surely, 2128130720 is an apocalyptic number.

128130720 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 128130720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203103936).

128130720 is an abundant number, since it is smaller than the sum of its proper divisors (278077152).

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

128130720 is a wasteful number, since it uses less digits than its factorization.

128130720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 128130720 is about 11319.4840871835. The cubic root of 128130720 is about 504.1399208391.

The spelling of 128130720 in words is "one hundred twenty-eight million, one hundred thirty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 173 240 346 480 519 692 865 1038 1384 1543 1730 2076 2595 2768 3086 3460 4152 4629 5190 5536 6172 6920 7715 8304 9258 10380 12344 13840 15430 16608 18516 20760 23145 24688 27680 30860 37032 41520 46290 49376 61720 74064 83040 92580 123440 148128 185160 246880 266939 370320 533878 740640 800817 1067756 1334695 1601634 2135512 2669390 3203268 4004085 4271024 5338780 6406536 8008170 8542048 10677560 12813072 16016340 21355120 25626144 32032680 42710240 64065360 128130720