Search a number
-
+
196389168 = 243171953239
BaseRepresentation
bin10111011010010…
…10100100110000
3111200112121021220
423231022210300
5400233423133
631253145040
74603165113
oct1355124460
9450477256
10196389168
11a09470a8
125592b180
13318c1911
141c12257a
15123945b3
hexbb4a930

196389168 has 160 divisors (see below), whose sum is σ = 578534400. Its totient is φ = 57028608.

The previous prime is 196389133. The next prime is 196389209. The reversal of 196389168 is 861983691.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 196389168.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 821593 + ... + 821831.

It is an arithmetic number, because the mean of its divisors is an integer number (3615840).

Almost surely, 2196389168 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 196389168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289267200).

196389168 is an abundant number, since it is smaller than the sum of its proper divisors (382145232).

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

196389168 is a wasteful number, since it uses less digits than its factorization.

196389168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 333 counting only the distinct ones).

The product of its digits is 559872, while the sum is 51.

The square root of 196389168 is about 14013.8919647613. The cubic root of 196389168 is about 581.2627738666.

The spelling of 196389168 in words is "one hundred ninety-six million, three hundred eighty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 53 57 68 76 102 106 114 136 152 159 204 212 228 239 272 304 318 323 408 424 456 478 636 646 717 816 848 901 912 956 969 1007 1272 1292 1434 1802 1912 1938 2014 2544 2584 2703 2868 3021 3604 3824 3876 4028 4063 4541 5168 5406 5736 6042 7208 7752 8056 8126 9082 10812 11472 12084 12189 12667 13623 14416 15504 16112 16252 17119 18164 21624 24168 24378 25334 27246 32504 34238 36328 38001 43248 48336 48756 50668 51357 54492 65008 68476 72656 76002 77197 97512 101336 102714 108984 136952 152004 154394 195024 202672 205428 215339 217968 231591 240673 273904 304008 308788 410856 430678 463182 481346 608016 617576 646017 722019 821712 861356 926364 962692 1235152 1292034 1444038 1722712 1852728 1925384 2584068 2888076 3445424 3705456 3850768 4091441 5168136 5776152 8182882 10336272 11552304 12274323 16365764 24548646 32731528 49097292 65463056 98194584 196389168