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128831424 = 2631076271
BaseRepresentation
bin1111010110111…
…00111111000000
322222102022111020
413223130333000
5230440101144
620441145440
73123022551
oct753347700
9288368436
10128831424
11667a3a57
123718b280
13208c9917
1413178328
15b49c419
hex7adcfc0

128831424 has 56 divisors (see below), whose sum is σ = 344107008. Its totient is φ = 42535680.

The previous prime is 128831411. The next prime is 128831431. The reversal of 128831424 is 424138821.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17409 + ... + 23679.

It is an arithmetic number, because the mean of its divisors is an integer number (6144768).

Almost surely, 2128831424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128831424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172053504).

128831424 is an abundant number, since it is smaller than the sum of its proper divisors (215275584).

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

128831424 is a wasteful number, since it uses less digits than its factorization.

128831424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6393 (or 6383 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 128831424 is about 11350.3931209452. The cubic root of 128831424 is about 505.0572414937.

The spelling of 128831424 in words is "one hundred twenty-eight million, eight hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 192 214 321 428 642 856 1284 1712 2568 3424 5136 6271 6848 10272 12542 18813 20544 25084 37626 50168 75252 100336 150504 200672 301008 401344 602016 670997 1204032 1341994 2012991 2683988 4025982 5367976 8051964 10735952 16103928 21471904 32207856 42943808 64415712 128831424