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128790000 = 24355453
BaseRepresentation
bin1111010110100…
…10110111110000
322222100012200000
413223102313300
5230432240000
620440230000
73122461023
oct753226760
9288305600
10128790000
1166775919
123716b300
13208b3b01
14131671ba
15b490000
hex7ad2df0

128790000 has 300 divisors, whose sum is σ = 475891416. Its totient is φ = 33696000.

The previous prime is 128789993. The next prime is 128790017. The reversal of 128790000 is 97821.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2429974 + ... + 2430026.

Almost surely, 2128790000 is an apocalyptic number.

128790000 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 128790000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237945708).

128790000 is an abundant number, since it is smaller than the sum of its proper divisors (347101416).

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

128790000 is an frugal number, since it uses more digits than its factorization.

128790000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 128790000 is about 11348.5681916266. The cubic root of 128790000 is about 505.0031042517.

The spelling of 128790000 in words is "one hundred twenty-eight million, seven hundred ninety thousand".