Search a number
-
+
128287401 = 31141531789
BaseRepresentation
bin1111010010110…
…00001010101001
322221101200020020
413221120022221
5230320144101
620421351053
73115265514
oct751301251
9287350206
10128287401
1166462250
1236b68489
1320769108
1413075d7b
15b3e1136
hex7a582a9

128287401 has 32 divisors (see below), whose sum is σ = 194866560. Its totient is φ = 74380800.

The previous prime is 128287391. The next prime is 128287421. The reversal of 128287401 is 104782821.

It is a happy number.

It is not a de Polignac number, because 128287401 - 26 = 128287337 is a prime.

It is a super-3 number, since 3×1282874013 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (128287421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70815 + ... + 72603.

It is an arithmetic number, because the mean of its divisors is an integer number (6089580).

Almost surely, 2128287401 is an apocalyptic number.

128287401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

128287401 is a deficient number, since it is larger than the sum of its proper divisors (66579159).

128287401 is a wasteful number, since it uses less digits than its factorization.

128287401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897.

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 128287401 is about 11326.4028270232. The cubic root of 128287401 is about 504.3453281820.

The spelling of 128287401 in words is "one hundred twenty-eight million, two hundred eighty-seven thousand, four hundred one".

Divisors: 1 3 11 33 41 53 123 159 451 583 1353 1749 1789 2173 5367 6519 19679 23903 59037 71709 73349 94817 220047 284451 806839 1042987 2420517 3128961 3887497 11662491 42762467 128287401