Search a number
-
+
195813660 = 22357617643
BaseRepresentation
bin10111010101111…
…10000100011100
3111122110100211210
423222332010130
5400112014120
631232544420
74565250210
oct1352760434
9448410753
10195813660
11a0593779
12556b2110
133174c993
141c012940
15122cdce0
hexbabe11c

195813660 has 96 divisors (see below), whose sum is σ = 636959232. Its totient is φ = 44017920.

The previous prime is 195813647. The next prime is 195813661. The reversal of 195813660 is 66318591.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195813661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21799 + ... + 29441.

It is an arithmetic number, because the mean of its divisors is an integer number (6634992).

Almost surely, 2195813660 is an apocalyptic number.

195813660 is a gapful number since it is divisible by the number (10) 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 195813660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318479616).

195813660 is an abundant number, since it is smaller than the sum of its proper divisors (441145572).

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

195813660 is a wasteful number, since it uses less digits than its factorization.

195813660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7723 (or 7721 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 195813660 is about 13993.3434174968. The cubic root of 195813660 is about 580.6944318027.

The spelling of 195813660 in words is "one hundred ninety-five million, eight hundred thirteen thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 61 70 84 105 122 140 183 210 244 305 366 420 427 610 732 854 915 1220 1281 1708 1830 2135 2562 3660 4270 5124 6405 7643 8540 12810 15286 22929 25620 30572 38215 45858 53501 76430 91716 107002 114645 152860 160503 214004 229290 267505 321006 458580 466223 535010 642012 802515 932446 1070020 1398669 1605030 1864892 2331115 2797338 3210060 3263561 4662230 5594676 6527122 6993345 9324460 9790683 13054244 13986690 16317805 19581366 27973380 32635610 39162732 48953415 65271220 97906830 195813660