Search a number
-
+
128034220 = 22543533
BaseRepresentation
bin1111010000110…
…10010110101100
322220220210221011
413220122112230
5230234043340
620412115004
73113162416
oct750322654
9286823834
10128034220
11662aa006
1236a65a64
13206aaac2
141300b9b6
15b3910ea
hex7a1a5ac

128034220 has 48 divisors (see below), whose sum is σ = 280415520. Its totient is φ = 49078848.

The previous prime is 128034211. The next prime is 128034233. The reversal of 128034220 is 22430821.

It is a super-2 number, since 2×1280342202 = 32785522982016800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 128034191 and 128034200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2415714 + ... + 2415766.

It is an arithmetic number, because the mean of its divisors is an integer number (5841990).

Almost surely, 2128034220 is an apocalyptic number.

128034220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128034220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140207760).

128034220 is an abundant number, since it is smaller than the sum of its proper divisors (152381300).

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

128034220 is an frugal number, since it uses more digits than its factorization.

128034220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 128034220 is about 11315.2207225489. The cubic root of 128034220 is about 504.0133268921.

The spelling of 128034220 in words is "one hundred twenty-eight million, thirty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 43 53 86 106 172 212 215 265 430 530 860 1060 2279 2809 4558 5618 9116 11236 11395 14045 22790 28090 45580 56180 120787 148877 241574 297754 483148 595508 603935 744385 1207870 1488770 2415740 2977540 6401711 12803422 25606844 32008555 64017110 128034220