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128359404 = 22386773
BaseRepresentation
bin1111010011010…
…01101111101100
322221112100000000
413221221233230
5230330000104
620423104300
73116015445
oct751515754
9287470000
10128359404
1166501358
1236ba2090
1320792b14
14130942cc
15b407639
hex7a69bec

128359404 has 108 divisors (see below), whose sum is σ = 346639384. Its totient is φ = 41570496.

The previous prime is 128359391. The next prime is 128359453. The reversal of 128359404 is 404953821.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×1283594042 = 32952273190470432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 1758312 + ... + 1758384.

Almost surely, 2128359404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128359404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173319692).

128359404 is an abundant number, since it is smaller than the sum of its proper divisors (218279980).

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

128359404 is an frugal number, since it uses more digits than its factorization.

128359404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 128359404 is about 11329.5809278190. The cubic root of 128359404 is about 504.4396673625.

The spelling of 128359404 in words is "one hundred twenty-eight million, three hundred fifty-nine thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 73 81 108 134 146 162 201 219 243 268 292 324 402 438 486 603 657 729 804 876 972 1206 1314 1458 1809 1971 2187 2412 2628 2916 3618 3942 4374 4891 5427 5913 6561 7236 7884 8748 9782 10854 11826 13122 14673 16281 17739 19564 21708 23652 26244 29346 32562 35478 44019 48843 53217 58692 65124 70956 88038 97686 106434 132057 146529 159651 176076 195372 212868 264114 293058 319302 396171 439587 478953 528228 586116 638604 792342 879174 957906 1188513 1584684 1758348 1915812 2377026 3565539 4754052 7131078 10696617 14262156 21393234 32089851 42786468 64179702 128359404