Search a number
-
+
128152200 = 233521119417
BaseRepresentation
bin1111010001101…
…11001010001000
322221010210202210
413220313022020
5230301332300
620414425120
73114163401
oct750671210
9287123683
10128152200
116637a710
1236b021a0
132071c707
141303c9a8
15b3b6050
hex7a37288

128152200 has 96 divisors (see below), whose sum is σ = 433409760. Its totient is φ = 31065600.

The previous prime is 128152187. The next prime is 128152217. The reversal of 128152200 is 2251821.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 3109 + ... + 16308.

It is an arithmetic number, because the mean of its divisors is an integer number (4514685).

Almost surely, 2128152200 is an apocalyptic number.

128152200 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 128152200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216704880).

128152200 is an abundant number, since it is smaller than the sum of its proper divisors (305257560).

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

128152200 is a wasteful number, since it uses less digits than its factorization.

128152200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19447 (or 19438 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 128152200 is about 11320.4328539151. The cubic root of 128152200 is about 504.1680908216.

The spelling of 128152200 in words is "one hundred twenty-eight million, one hundred fifty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 19417 38834 58251 77668 97085 116502 155336 194170 213587 233004 291255 388340 427174 466008 485425 582510 640761 776680 854348 970850 1067935 1165020 1281522 1456275 1708696 1941700 2135870 2330040 2563044 2912550 3203805 3883400 4271740 5126088 5339675 5825100 6407610 8543480 10679350 11650200 12815220 16019025 21358700 25630440 32038050 42717400 64076100 128152200