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128081000 = 2353263487
BaseRepresentation
bin1111010001001…
…01110001101000
322221000012002202
413220211301220
5230242043000
620413115332
73113445665
oct750456150
9287005082
10128081000
1166331173
1236a88b48
13206c6198
1413020a6c
15b39edd5
hex7a25c68

128081000 has 64 divisors (see below), whose sum is σ = 301466880. Its totient is φ = 50932800.

The previous prime is 128080993. The next prime is 128081003. The reversal of 128081000 is 180821.

It is a super-2 number, since 2×1280810002 = 32809485122000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (128081003) by changing a digit.

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, 262757 + ... + 263243.

It is an arithmetic number, because the mean of its divisors is an integer number (4710420).

Almost surely, 2128081000 is an apocalyptic number.

128081000 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 128081000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150733440).

128081000 is an abundant number, since it is smaller than the sum of its proper divisors (173385880).

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

128081000 is a wasteful number, since it uses less digits than its factorization.

128081000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 128081000 is about 11317.2876609195. The cubic root of 128081000 is about 504.0747033805.

The spelling of 128081000 in words is "one hundred twenty-eight million, eighty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 263 487 500 526 974 1000 1052 1315 1948 2104 2435 2630 3896 4870 5260 6575 9740 10520 12175 13150 19480 24350 26300 32875 48700 52600 60875 65750 97400 121750 128081 131500 243500 256162 263000 487000 512324 640405 1024648 1280810 2561620 3202025 5123240 6404050 12808100 16010125 25616200 32020250 64040500 128081000