Search a number
-
+
160493130 = 2335731733
BaseRepresentation
bin10011001000011…
…10111001001010
3102011222220012000
421210032321022
5312041240010
623531531430
73656112000
oct1144167112
9364886160
10160493130
1182659956
12458b9b76
1327334065
141745aa70
15e1537c0
hex990ee4a

160493130 has 128 divisors (see below), whose sum is σ = 499392000. Its totient is φ = 36662976.

The previous prime is 160493129. The next prime is 160493131. The reversal of 160493130 is 31394061.

160493130 is a `hidden beast` number, since 160 + 493 + 13 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (160493129) and next prime (160493131).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 160493094 and 160493103.

It is not an unprimeable number, because it can be changed into a prime (160493131) 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 63 ways as a sum of consecutive naturals, for example, 91744 + ... + 93476.

It is an arithmetic number, because the mean of its divisors is an integer number (3901500).

Almost surely, 2160493130 is an apocalyptic number.

160493130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 160493130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249696000).

160493130 is an abundant number, since it is smaller than the sum of its proper divisors (338898870).

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

160493130 is a wasteful number, since it uses less digits than its factorization.

160493130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 160493130 is about 12668.5883191459. The cubic root of 160493130 is about 543.4406849578.

The spelling of 160493130 in words is "one hundred sixty million, four hundred ninety-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 90 98 105 126 135 147 189 210 245 270 294 315 343 378 441 490 630 686 735 882 945 1029 1323 1470 1715 1733 1890 2058 2205 2646 3087 3430 3466 4410 5145 5199 6174 6615 8665 9261 10290 10398 12131 13230 15435 15597 17330 18522 24262 25995 30870 31194 36393 46305 46791 51990 60655 72786 77985 84917 92610 93582 109179 121310 155970 169834 181965 218358 233955 254751 327537 363930 424585 467910 509502 545895 594419 655074 764253 849170 1091790 1188838 1273755 1528506 1637685 1783257 2292759 2547510 2972095 3275370 3566514 3821265 4585518 5349771 5944190 7642530 8916285 10699542 11463795 16049313 17832570 22927590 26748855 32098626 53497710 80246565 160493130