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128754409 = 7216212
BaseRepresentation
bin1111010110010…
…10001011101001
322222021101211211
413223022023221
5230430120114
620435353121
73122252200
oct753121351
9288241754
10128754409
1166751103
12371527a1
13208a0854
1413158237
15b4846c4
hex7aca2e9

128754409 has 9 divisors (see below), whose sum is σ = 149867991. Its totient is φ = 110292840.

The previous prime is 128754401. The next prime is 128754433. The reversal of 128754409 is 904457821.

The square root of 128754409 is 11347.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 98942809 + 29811600 = 9947^2 + 5460^2 .

It is not a de Polignac number, because 128754409 - 23 = 128754401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (128754401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 78619 + ... + 80239.

It is an arithmetic number, because the mean of its divisors is an integer number (16651999).

Almost surely, 2128754409 is an apocalyptic number.

128754409 is the 11347-th square number.

128754409 is the 5674-th centered octagonal number.

It is an amenable number.

128754409 is a deficient number, since it is larger than the sum of its proper divisors (21113582).

128754409 is an frugal number, since it uses more digits than its factorization.

128754409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3256 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The cubic root of 128754409 is about 504.9565809156.

It can be divided in two parts, 1287 and 54409, that added together give a square (55696 = 2362).

The spelling of 128754409 in words is "one hundred twenty-eight million, seven hundred fifty-four thousand, four hundred nine".

Divisors: 1 7 49 1621 11347 79429 2627641 18393487 128754409