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195320970 = 238513229
BaseRepresentation
bin10111010010001…
…01110010001010
3111121112100000000
423221011302022
5400000232340
631214223430
74561125615
oct1351056212
9447470000
10195320970
11a0287599
12554b4b76
1331609650
141bd2517c
1512232d30
hexba45c8a

195320970 has 144 divisors (see below), whose sum is σ = 570384360. Its totient is φ = 47869056.

The previous prime is 195320959. The next prime is 195320989. The reversal of 195320970 is 79023591.

It can be written as a sum of positive squares in 4 ways, for example, as 165868641 + 29452329 = 12879^2 + 5427^2 .

It is a Curzon number.

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 71 ways as a sum of consecutive naturals, for example, 852816 + ... + 853044.

Almost surely, 2195320970 is an apocalyptic number.

195320970 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 195320970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285192180).

195320970 is an abundant number, since it is smaller than the sum of its proper divisors (375063390).

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

195320970 is an equidigital number, since it uses as much as digits as its factorization.

195320970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 195320970 is about 13975.7278880207. The cubic root of 195320970 is about 580.2069911219.

The spelling of 195320970 in words is "one hundred ninety-five million, three hundred twenty thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 229 234 243 270 351 390 405 458 486 585 687 702 729 810 1053 1145 1170 1215 1374 1458 1755 2061 2106 2187 2290 2430 2977 3159 3435 3510 3645 4122 4374 5265 5954 6183 6318 6561 6870 7290 8931 9477 10305 10530 10935 12366 13122 14885 15795 17862 18549 18954 20610 21870 26793 28431 29770 30915 31590 32805 37098 44655 47385 53586 55647 56862 61830 65610 80379 85293 89310 92745 94770 111294 133965 142155 160758 166941 170586 185490 241137 267930 278235 284310 333882 401895 426465 482274 500823 556470 723411 803790 834705 852930 1001646 1205685 1446822 1502469 1669410 2170233 2411370 2504115 3004938 3617055 4340466 5008230 6510699 7234110 7512345 10851165 13021398 15024690 19532097 21702330 32553495 39064194 65106990 97660485 195320970