Search a number
-
+
163930000 = 245413297
BaseRepresentation
bin10011100010101…
…01111110010000
3102102110111200111
421301111332100
5313431230000
624133331104
74030245013
oct1161257620
9372414614
10163930000
1184597043
1246a96a94
1327c68500
1417ab337a
15e5d1cba
hex9c55f90

163930000 has 150 divisors (see below), whose sum is σ = 434200074. Its totient is φ = 59904000.

The previous prime is 163929991. The next prime is 163930049. The reversal of 163930000 is 39361.

163930000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 15 ways, for example, as 148937616 + 14992384 = 12204^2 + 3872^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1689952 + ... + 1690048.

Almost surely, 2163930000 is an apocalyptic number.

163930000 is a gapful number since it is divisible by the number (10) 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 163930000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217100037).

163930000 is an abundant number, since it is smaller than the sum of its proper divisors (270270074).

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

163930000 is an equidigital number, since it uses as much as digits as its factorization.

163930000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

The square root of 163930000 is about 12803.5151423349. The cubic root of 163930000 is about 547.2924784992.

Adding to 163930000 its reverse (39361), we get a palindrome (163969361).

The spelling of 163930000 in words is "one hundred sixty-three million, nine hundred thirty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 97 100 104 125 130 169 194 200 208 250 260 325 338 388 400 485 500 520 625 650 676 776 845 970 1000 1040 1250 1261 1300 1352 1552 1625 1690 1940 2000 2425 2500 2522 2600 2704 3250 3380 3880 4225 4850 5000 5044 5200 6305 6500 6760 7760 8125 8450 9700 10000 10088 12125 12610 13000 13520 16250 16393 16900 19400 20176 21125 24250 25220 26000 31525 32500 32786 33800 38800 42250 48500 50440 60625 63050 65000 65572 67600 81965 84500 97000 100880 105625 121250 126100 130000 131144 157625 163930 169000 194000 211250 242500 252200 262288 315250 327860 338000 409825 422500 485000 504400 630500 655720 788125 819650 845000 970000 1261000 1311440 1576250 1639300 1690000 2049125 2522000 3152500 3278600 4098250 6305000 6557200 8196500 10245625 12610000 16393000 20491250 32786000 40982500 81965000 163930000