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128039241 = 311127137223
BaseRepresentation
bin1111010000110…
…11100101001001
322220221001211010
413220123211021
5230234223431
620412154133
73113213151
oct750334511
9286831733
10128039241
1166302860
1236a68949
13206b0185
141300d761
15b392846
hex7a1b949

128039241 has 32 divisors (see below), whose sum is σ = 189923328. Its totient is φ = 76083840.

The previous prime is 128039221. The next prime is 128039243. The reversal of 128039241 is 142930821.

It is not a de Polignac number, because 128039241 - 25 = 128039209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 128039199 and 128039208.

It is not an unprimeable number, because it can be changed into a prime (128039243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 574056 + ... + 574278.

It is an arithmetic number, because the mean of its divisors is an integer number (5935104).

It is a Poulet number, since it divides 2128039240-1.

Almost surely, 2128039241 is an apocalyptic number.

128039241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

128039241 is a deficient number, since it is larger than the sum of its proper divisors (61884087).

128039241 is a wasteful number, since it uses less digits than its factorization.

128039241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501.

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 128039241 is about 11315.4425896648. The cubic root of 128039241 is about 504.0199152813.

The spelling of 128039241 in words is "one hundred twenty-eight million, thirty-nine thousand, two hundred forty-one".

Divisors: 1 3 11 33 127 137 223 381 411 669 1397 1507 2453 4191 4521 7359 17399 28321 30551 52197 84963 91653 191389 311531 336061 574167 934593 1008183 3879977 11639931 42679747 128039241