Search a number
-
+
128333856 = 2537353541
BaseRepresentation
bin1111010011000…
…11100000100000
322221111000221210
413221203200200
5230323140411
620422350120
73115551120
oct751434040
9287430853
10128333856
1166494142
1236b8b340
13207842c1
1413088c80
15b3eeca6
hex7a63820

128333856 has 96 divisors (see below), whose sum is σ = 386805888. Its totient is φ = 36495360.

The previous prime is 128333827. The next prime is 128333869. The reversal of 128333856 is 658333821.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236946 + ... + 237486.

It is an arithmetic number, because the mean of its divisors is an integer number (4029228).

Almost surely, 2128333856 is an apocalyptic number.

128333856 is a gapful number since it is divisible by the number (16) 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 128333856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193402944).

128333856 is an abundant number, since it is smaller than the sum of its proper divisors (258472032).

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

128333856 is a wasteful number, since it uses less digits than its factorization.

128333856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 906 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 128333856 is about 11328.4533807577. The cubic root of 128333856 is about 504.4061981104.

The spelling of 128333856 in words is "one hundred twenty-eight million, three hundred thirty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 353 541 672 706 1059 1082 1412 1623 2118 2164 2471 2824 3246 3787 4236 4328 4942 5648 6492 7413 7574 8472 8656 9884 11296 11361 12984 14826 15148 16944 17312 19768 22722 25968 29652 30296 33888 39536 45444 51936 59304 60592 79072 90888 118608 121184 181776 190973 237216 363552 381946 572919 763892 1145838 1336811 1527784 2291676 2673622 3055568 4010433 4583352 5347244 6111136 8020866 9166704 10694488 16041732 18333408 21388976 32083464 42777952 64166928 128333856