Search a number
-
+
195273820 = 22572296871
BaseRepresentation
bin10111010001110…
…10010001011100
3111121102221022201
423220322101130
5344442230240
631213221244
74560541300
oct1350722134
9447387281
10195273820
11a0255125
1255491824
13315c1051
141bd11d00
1512223d9a
hexba3a45c

195273820 has 72 divisors (see below), whose sum is σ = 493547040. Its totient is φ = 64632960.

The previous prime is 195273817. The next prime is 195273821. The reversal of 195273820 is 28372591.

195273820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 195273820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195273821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24985 + ... + 31855.

It is an arithmetic number, because the mean of its divisors is an integer number (6854820).

Almost surely, 2195273820 is an apocalyptic number.

195273820 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 195273820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246773520).

195273820 is an abundant number, since it is smaller than the sum of its proper divisors (298273220).

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

195273820 is a wasteful number, since it uses less digits than its factorization.

195273820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6923 (or 6914 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 195273820 is about 13974.0409331016. The cubic root of 195273820 is about 580.1603005196.

The spelling of 195273820 in words is "one hundred ninety-five million, two hundred seventy-three thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 49 58 70 98 116 140 145 196 203 245 290 406 490 580 812 980 1015 1421 2030 2842 4060 5684 6871 7105 13742 14210 27484 28420 34355 48097 68710 96194 137420 192388 199259 240485 336679 398518 480970 673358 797036 961940 996295 1346716 1394813 1683395 1992590 2789626 3366790 3985180 5579252 6733580 6974065 9763691 13948130 19527382 27896260 39054764 48818455 97636910 195273820