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128980431 = 3459137197
BaseRepresentation
bin1111011000000…
…01010111001111
322222200212220000
413230001113033
5231004333211
620444255343
73124213146
oct754012717
9288625800
10128980431
11668959a8
1237241553
132094c6a8
14131b675d
15b4cb656
hex7b015cf

128980431 has 40 divisors (see below), whose sum is σ = 198372240. Its totient is φ = 83486592.

The previous prime is 128980403. The next prime is 128980441. The reversal of 128980431 is 134089821.

It is not a de Polignac number, because 128980431 - 210 = 128979407 is a prime.

It is a super-2 number, since 2×1289804312 = 33271903161891522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128980441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 654625 + ... + 654821.

It is an arithmetic number, because the mean of its divisors is an integer number (4959306).

Almost surely, 2128980431 is an apocalyptic number.

128980431 is a deficient number, since it is larger than the sum of its proper divisors (69391809).

128980431 is a wasteful number, since it uses less digits than its factorization.

128980431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 128980431 is about 11356.9551817378. The cubic root of 128980431 is about 505.2518836249.

The spelling of 128980431 in words is "one hundred twenty-eight million, nine hundred eighty thousand, four hundred thirty-one".

Divisors: 1 3 9 27 59 81 137 177 197 411 531 591 1233 1593 1773 3699 4779 5319 8083 11097 11623 15957 24249 26989 34869 72747 80967 104607 218241 242901 313821 654723 728703 941463 1592351 2186109 4777053 14331159 42993477 128980431