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195966864 = 243653317
BaseRepresentation
bin10111010111000…
…11011110010000
3111122202011000000
423223203132100
5400131414424
631240130000
74566455652
oct1353433620
9448664000
10195966864
11a0688895
1255766900
13317a4632
141c0526d2
151230e3c9
hexbae3790

195966864 has 140 divisors (see below), whose sum is σ = 581838876. Its totient is φ = 63887616.

The previous prime is 195966863. The next prime is 195966899. The reversal of 195966864 is 468669591.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 67371264 + 128595600 = 8208^2 + 11340^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 195966864.

It is not an unprimeable number, because it can be changed into a prime (195966863) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 618034 + ... + 618350.

Almost surely, 2195966864 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 195966864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290919438).

195966864 is an abundant number, since it is smaller than the sum of its proper divisors (385872012).

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

195966864 is an equidigital number, since it uses as much as digits as its factorization.

195966864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 375 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 195966864 is about 13998.8165214064. The cubic root of 195966864 is about 580.8458368305.

The spelling of 195966864 in words is "one hundred ninety-five million, nine hundred sixty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 81 106 108 144 159 162 212 216 243 317 318 324 424 432 477 486 634 636 648 729 848 951 954 972 1268 1272 1296 1431 1458 1902 1908 1944 2536 2544 2853 2862 2916 3804 3816 3888 4293 5072 5706 5724 5832 7608 7632 8559 8586 11412 11448 11664 12879 15216 16801 17118 17172 22824 22896 25677 25758 33602 34236 34344 38637 45648 50403 51354 51516 67204 68472 68688 77031 77274 100806 102708 103032 134408 136944 151209 154062 154548 201612 205416 206064 231093 268816 302418 308124 309096 403224 410832 453627 462186 604836 616248 618192 806448 907254 924372 1209672 1232496 1360881 1814508 1848744 2419344 2721762 3629016 3697488 4082643 5443524 7258032 8165286 10887048 12247929 16330572 21774096 24495858 32661144 48991716 65322288 97983432 195966864