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128232405 = 3257795153
BaseRepresentation
bin1111010010010…
…10101111010101
322221021212210100
413221022233111
5230311414110
620420244313
73114646260
oct751125725
9287255710
10128232405
11664249a4
1236b40699
132074a082
141305dcd7
15b3cebc0
hex7a4abd5

128232405 has 48 divisors (see below), whose sum is σ = 257287680. Its totient is φ = 57867264.

The previous prime is 128232397. The next prime is 128232409. The reversal of 128232405 is 504232821.

128232405 is a `hidden beast` number, since 1 + 28 + 232 + 405 = 666.

It is not a de Polignac number, because 128232405 - 23 = 128232397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128232409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22309 + ... + 27461.

It is an arithmetic number, because the mean of its divisors is an integer number (5360160).

Almost surely, 2128232405 is an apocalyptic number.

128232405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

128232405 is an abundant number, since it is smaller than the sum of its proper divisors (129055275).

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

128232405 is a wasteful number, since it uses less digits than its factorization.

128232405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5250 (or 5247 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 128232405 is about 11323.9747880327. The cubic root of 128232405 is about 504.2732479935.

The spelling of 128232405 in words is "one hundred twenty-eight million, two hundred thirty-two thousand, four hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 79 105 237 315 395 553 711 1185 1659 2765 3555 4977 5153 8295 15459 24885 25765 36071 46377 77295 108213 180355 231885 324639 407087 541065 1221261 1623195 2035435 2849609 3663783 6106305 8548827 14248045 18318915 25646481 42744135 128232405