[go: up one dir, main page]

Search a number
-
+
706116192 = 25323833853
BaseRepresentation
bin101010000101100…
…111101001100000
31211012200102022120
4222011213221200
52421231204232
6154022304240
723332613535
oct5205475140
91735612276
10706116192
11332647601
12178588080
13b33a1242
1469acad8c
1541ece92c
hex2a167a60

706116192 has 96 divisors (see below), whose sum is σ = 1957955328. Its totient is φ = 222368256.

The previous prime is 706116167. The next prime is 706116193. The reversal of 706116192 is 291611607.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706116193) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 181338 + ... + 185190.

It is an arithmetic number, because the mean of its divisors is an integer number (20395368).

Almost surely, 2706116192 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 706116192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978977664).

706116192 is an abundant number, since it is smaller than the sum of its proper divisors (1251839136).

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

706116192 is a wasteful number, since it uses less digits than its factorization.

706116192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3972 (or 3964 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 706116192 is about 26572.8468930222. The cubic root of 706116192 is about 890.4825023309.

Adding to 706116192 its reverse (291611607), we get a palindrome (997727799).

The spelling of 706116192 in words is "seven hundred six million, one hundred sixteen thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 83 92 96 138 166 184 249 276 332 368 498 552 664 736 996 1104 1328 1909 1992 2208 2656 3818 3853 3984 5727 7636 7706 7968 11454 11559 15272 15412 22908 23118 30544 30824 45816 46236 61088 61648 88619 91632 92472 123296 177238 183264 184944 265857 319799 354476 369888 531714 639598 708952 959397 1063428 1279196 1417904 1918794 2126856 2558392 2835808 3837588 4253712 5116784 7355377 7675176 8507424 10233568 14710754 15350352 22066131 29421508 30700704 44132262 58843016 88264524 117686032 176529048 235372064 353058096 706116192