Search a number
-
+
128170752 = 283179817
BaseRepresentation
bin1111010001110…
…11101100000000
322221011202012220
413220323230000
5230302431002
620415051040
73114301443
oct750735400
9287152186
10128170752
1166392646
1236b10a80
1320727ca8
141304565a
15b3bb7bc
hex7a3bb00

128170752 has 72 divisors (see below), whose sum is σ = 361223856. Its totient is φ = 40206336.

The previous prime is 128170747. The next prime is 128170753. The reversal of 128170752 is 257071821.

It is not an unprimeable number, because it can be changed into a prime (128170753) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8148 + ... + 17964.

It is an arithmetic number, because the mean of its divisors is an integer number (5016998).

Almost surely, 2128170752 is an apocalyptic number.

128170752 is a gapful number since it is divisible by the number (12) 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 128170752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180611928).

128170752 is an abundant number, since it is smaller than the sum of its proper divisors (233053104).

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

128170752 is an equidigital number, since it uses as much as digits as its factorization.

128170752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9853 (or 9839 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 33.

The square root of 128170752 is about 11321.2522275586. The cubic root of 128170752 is about 504.1924183403.

The spelling of 128170752 in words is "one hundred twenty-eight million, one hundred seventy thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 816 1088 1632 2176 3264 4352 6528 9817 13056 19634 29451 39268 58902 78536 117804 157072 166889 235608 314144 333778 471216 500667 628288 667556 942432 1001334 1256576 1335112 1884864 2002668 2513152 2670224 3769728 4005336 5340448 7539456 8010672 10680896 16021344 21361792 32042688 42723584 64085376 128170752