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128298240 = 2832573743
BaseRepresentation
bin1111010010110…
…10110100000000
322221102020002200
413221122310000
5230321020430
620421513200
73115342230
oct751326400
9287366080
10128298240
116646a404
1236b72800
1320771025
1413079cc0
15b3e4460
hex7a5ad00

128298240 has 432 divisors, whose sum is σ = 533140608. Its totient is φ = 27869184.

The previous prime is 128298229. The next prime is 128298253. The reversal of 128298240 is 42892821.

128298240 is a `hidden beast` number, since 128 + 298 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 128298195 and 128298204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2983659 + ... + 2983701.

Almost surely, 2128298240 is an apocalyptic number.

128298240 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 128298240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266570304).

128298240 is an abundant number, since it is smaller than the sum of its proper divisors (404842368).

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

128298240 is a wasteful number, since it uses less digits than its factorization.

128298240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 128298240 is about 11326.8813006935. The cubic root of 128298240 is about 504.3595318243.

The spelling of 128298240 in words is "one hundred twenty-eight million, two hundred ninety-eight thousand, two hundred forty".