Search a number
-
+
161041728 = 263978647
BaseRepresentation
bin10011001100101…
…00110101000000
3102020000202201110
421212110311000
5312211313403
623551403320
73663555261
oct1146246500
9366022643
10161041728
11829a4041
1245b23540
1327496983
1417560968
15e211103
hex9994d40

161041728 has 56 divisors (see below), whose sum is σ = 430532032. Its totient is φ = 53121024.

The previous prime is 161041711. The next prime is 161041753. The reversal of 161041728 is 827140161.

It is a junction number, because it is equal to n+sod(n) for n = 161041695 and 161041704.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 14301 + ... + 22947.

It is an arithmetic number, because the mean of its divisors is an integer number (7688072).

Almost surely, 2161041728 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 161041728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215266016).

161041728 is an abundant number, since it is smaller than the sum of its proper divisors (269490304).

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

161041728 is an equidigital number, since it uses as much as digits as its factorization.

161041728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8759 (or 8749 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 161041728 is about 12690.2217474716. The cubic root of 161041728 is about 544.0591775300.

Adding to 161041728 its reverse (827140161), we get a palindrome (988181889).

The spelling of 161041728 in words is "one hundred sixty-one million, forty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 192 194 291 388 582 776 1164 1552 2328 3104 4656 6208 8647 9312 17294 18624 25941 34588 51882 69176 103764 138352 207528 276704 415056 553408 830112 838759 1660224 1677518 2516277 3355036 5032554 6710072 10065108 13420144 20130216 26840288 40260432 53680576 80520864 161041728