Search a number
-
+
128108448 = 25321334217
BaseRepresentation
bin1111010001011…
…00011110100000
322221001120202100
413220230132200
5230243432243
620413450400
73113622006
oct750543640
9287046670
10128108448
116634a856
1236aa0a00
1320705820
141302aa76
15b3a80d3
hex7a2c7a0

128108448 has 72 divisors (see below), whose sum is σ = 392343588. Its totient is φ = 39416832.

The previous prime is 128108429. The next prime is 128108483. The reversal of 128108448 is 844801821.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 126967824 + 1140624 = 11268^2 + 1068^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13365 + ... + 20852.

Almost surely, 2128108448 is an apocalyptic number.

128108448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

128108448 is an abundant number, since it is smaller than the sum of its proper divisors (264235140).

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

128108448 is a wasteful number, since it uses less digits than its factorization.

128108448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34246 (or 34235 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 128108448 is about 11318.5002540089. The cubic root of 128108448 is about 504.1107088620.

The spelling of 128108448 in words is "one hundred twenty-eight million, one hundred eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 34217 68434 102651 136868 205302 273736 307953 410604 444821 547472 615906 821208 889642 1094944 1231812 1334463 1642416 1779284 2463624 2668926 3284832 3558568 4003389 4927248 5337852 7117136 8006778 9854496 10675704 14234272 16013556 21351408 32027112 42702816 64054224 128108448