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128644038 = 2345314983
BaseRepresentation
bin1111010101011…
…11001111000110
322222001210110000
413222233033012
5230413102123
620433142130
73121312335
oct752571706
9288053400
10128644038
1166686196
12370ba946
1320862543
1413129d1c
15b461b43
hex7aaf3c6

128644038 has 40 divisors (see below), whose sum is σ = 293716368. Its totient is φ = 42069456.

The previous prime is 128644027. The next prime is 128644051. The reversal of 128644038 is 830446821.

128644038 is a `hidden beast` number, since 1 + 2 + 8 + 644 + 0 + 3 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 128643993 and 128644011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1095 + ... + 16077.

Almost surely, 2128644038 is an apocalyptic number.

128644038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 128644038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146858184).

128644038 is an abundant number, since it is smaller than the sum of its proper divisors (165072330).

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

128644038 is a wasteful number, since it uses less digits than its factorization.

128644038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15050 (or 15041 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 128644038 is about 11342.1355132091. The cubic root of 128644038 is about 504.8122531838.

The spelling of 128644038 in words is "one hundred twenty-eight million, six hundred forty-four thousand, thirty-eight".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 318 477 954 1431 2862 4293 8586 14983 29966 44949 89898 134847 269694 404541 794099 809082 1213623 1588198 2382297 2427246 4764594 7146891 14293782 21440673 42881346 64322019 128644038