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128448936 = 23337117723
BaseRepresentation
bin1111010011111…
…11100110101000
322221200212211000
413221333212220
5230340331221
620425035000
73116540460
oct751774650
9287625730
10128448936
1166562650
1237025a60
13207c47b5
14130b8ba0
15b423e26
hex7a7f9a8

128448936 has 128 divisors (see below), whose sum is σ = 444902400. Its totient is φ = 33359040.

The previous prime is 128448913. The next prime is 128449007. The reversal of 128448936 is 639844821.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 128448891 and 128448900.

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 31 ways as a sum of consecutive naturals, for example, 12771 + ... + 20493.

It is an arithmetic number, because the mean of its divisors is an integer number (3475800).

Almost surely, 2128448936 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 128448936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222451200).

128448936 is an abundant number, since it is smaller than the sum of its proper divisors (316453464).

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

128448936 is a wasteful number, since it uses less digits than its factorization.

128448936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7756 (or 7746 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 128448936 is about 11333.5314884638. The cubic root of 128448936 is about 504.5569240503.

The spelling of 128448936 in words is "one hundred twenty-eight million, four hundred forty-eight thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 84 88 99 108 126 132 154 168 189 198 216 231 252 264 297 308 378 396 462 504 594 616 693 756 792 924 1188 1386 1512 1848 2079 2376 2772 4158 5544 7723 8316 15446 16632 23169 30892 46338 54061 61784 69507 84953 92676 108122 139014 162183 169906 185352 208521 216244 254859 278028 324366 339812 417042 432488 486549 509718 556056 594671 648732 679624 764577 834084 973098 1019436 1189342 1297464 1459647 1529154 1668168 1784013 1946196 2038872 2293731 2378684 2919294 3058308 3568026 3892392 4587462 4757368 5352039 5838588 6116616 7136052 9174924 10704078 11677176 14272104 16056117 18349848 21408156 32112234 42816312 64224468 128448936