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196564095 = 325713232087
BaseRepresentation
bin10111011011101…
…01010001111111
3111200212111020200
423231311101333
5400310022340
631301014543
74604524110
oct1355652177
9450774220
10196564095
11a0a56572
12559b4453
1331953420
141c16a207
15123cb330
hexbb7547f

196564095 has 96 divisors (see below), whose sum is σ = 437778432. Its totient is φ = 79301376.

The previous prime is 196564061. The next prime is 196564097. The reversal of 196564095 is 590465691.

It is a happy number.

196564095 is a `hidden beast` number, since 196 + 56 + 409 + 5 = 666.

It is not a de Polignac number, because 196564095 - 29 = 196563583 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 196564095.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196564097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93142 + ... + 95228.

It is an arithmetic number, because the mean of its divisors is an integer number (4560192).

Almost surely, 2196564095 is an apocalyptic number.

196564095 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

196564095 is an abundant number, since it is smaller than the sum of its proper divisors (241214337).

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

196564095 is a wasteful number, since it uses less digits than its factorization.

196564095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 196564095 is about 14020.1317754150. The cubic root of 196564095 is about 581.4353026951.

The spelling of 196564095 in words is "one hundred ninety-six million, five hundred sixty-four thousand, ninety-five".

Divisors: 1 3 5 7 9 13 15 21 23 35 39 45 63 65 69 91 105 115 117 161 195 207 273 299 315 345 455 483 585 805 819 897 1035 1365 1449 1495 2087 2093 2415 2691 4095 4485 6261 6279 7245 10435 10465 13455 14609 18783 18837 27131 31305 31395 43827 48001 73045 81393 93915 94185 131481 135655 144003 189917 219135 240005 244179 336007 406965 432009 569751 624013 657405 720015 949585 1008021 1220895 1680035 1709253 1872039 2160045 2848755 3024063 3120065 4368091 5040105 5616117 8546265 9360195 13104273 15120315 21840455 28080585 39312819 65521365 196564095