Search a number
-
+
195965568 = 273441461
BaseRepresentation
bin10111010111000…
…11001010000000
3111122202002020000
423223203022000
5400131344233
631240120000
74566452121
oct1353431200
9448662200
10195965568
11a0687917
1255766000
13317a3b76
141c052048
151230dd13
hexbae3280

195965568 has 160 divisors (see below), whose sum is σ = 598710420. Its totient is φ = 63590400.

The previous prime is 195965533. The next prime is 195965587. The reversal of 195965568 is 865569591.

195965568 is a `hidden beast` number, since 19 + 5 + 9 + 65 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 169833024 + 26132544 = 13032^2 + 5112^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 424858 + ... + 425318.

Almost surely, 2195965568 is an apocalyptic number.

195965568 is a gapful number since it is divisible by the number (18) 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 195965568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299355210).

195965568 is an abundant number, since it is smaller than the sum of its proper divisors (402744852).

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

195965568 is an equidigital number, since it uses as much as digits as its factorization.

195965568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 507 counting only the distinct ones).

The product of its digits is 2916000, while the sum is 54.

The square root of 195965568 is about 13998.7702317025. The cubic root of 195965568 is about 580.8445563796.

The spelling of 195965568 in words is "one hundred ninety-five million, nine hundred sixty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 81 82 96 108 123 128 144 162 164 192 216 246 288 324 328 369 384 432 461 492 576 648 656 738 864 922 984 1107 1152 1296 1312 1383 1476 1728 1844 1968 2214 2592 2624 2766 2952 3321 3456 3688 3936 4149 4428 5184 5248 5532 5904 6642 7376 7872 8298 8856 10368 11064 11808 12447 13284 14752 15744 16596 17712 18901 22128 23616 24894 26568 29504 33192 35424 37341 37802 44256 47232 49788 53136 56703 59008 66384 70848 74682 75604 88512 99576 106272 113406 132768 141696 149364 151208 170109 177024 199152 212544 226812 265536 298728 302416 340218 398304 425088 453624 510327 531072 597456 604832 680436 796608 907248 1020654 1194912 1209664 1360872 1530981 1593216 1814496 2041308 2389824 2419328 2721744 3061962 3628992 4082616 4779648 5443488 6123924 7257984 8165232 10886976 12247848 16330464 21773952 24495696 32660928 48991392 65321856 97982784 195965568