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128048921 = 71113127921
BaseRepresentation
bin1111010000111…
…01111100011001
322220221120002122
413220131330121
5230240031141
620412311025
73113253320
oct750357431
9286846078
10128048921
116630a060
1236a72475
13206b46c0
14130130b7
15b39564b
hex7a1df19

128048921 has 16 divisors (see below), whose sum is σ = 171927168. Its totient is φ = 92102400.

The previous prime is 128048917. The next prime is 128048927. The reversal of 128048921 is 129840821.

It is not a de Polignac number, because 128048921 - 22 = 128048917 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (128048927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62960 + ... + 64961.

It is an arithmetic number, because the mean of its divisors is an integer number (10745448).

Almost surely, 2128048921 is an apocalyptic number.

128048921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

128048921 is a deficient number, since it is larger than the sum of its proper divisors (43878247).

128048921 is a wasteful number, since it uses less digits than its factorization.

128048921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127952.

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 128048921 is about 11315.8703156231. The cubic root of 128048921 is about 504.0326165693.

The spelling of 128048921 in words is "one hundred twenty-eight million, forty-eight thousand, nine hundred twenty-one".

Divisors: 1 7 11 13 77 91 143 1001 127921 895447 1407131 1662973 9849917 11640811 18292703 128048921