Search a number
-
+
128628381 = 3727191217
BaseRepresentation
bin1111010101010…
…11011010011101
322222000222222010
413222223122131
5230412102011
620432541433
73121215600
oct752533235
9288028863
10128628381
1166675452
12370b1879
132085838b
1413124337
15b45c1a6
hex7aab69d

128628381 has 24 divisors (see below), whose sum is σ = 199946880. Its totient is φ = 73339392.

The previous prime is 128628371. The next prime is 128628433. The reversal of 128628381 is 183826821.

It is not a de Polignac number, because 128628381 - 210 = 128627357 is a prime.

It is a super-2 number, since 2×1286283812 = 33090520797362322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128628361) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 105085 + ... + 106301.

It is an arithmetic number, because the mean of its divisors is an integer number (8331120).

Almost surely, 2128628381 is an apocalyptic number.

It is an amenable number.

128628381 is a deficient number, since it is larger than the sum of its proper divisors (71318499).

128628381 is a wasteful number, since it uses less digits than its factorization.

128628381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1946 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 128628381 is about 11341.4452782703. The cubic root of 128628381 is about 504.7917724675.

The spelling of 128628381 in words is "one hundred twenty-eight million, six hundred twenty-eight thousand, three hundred eighty-one".

Divisors: 1 3 7 21 49 147 719 1217 2157 3651 5033 8519 15099 25557 35231 59633 105693 178899 875023 2625069 6125161 18375483 42876127 128628381