Search a number
-
+
195369984 = 21032172943
BaseRepresentation
bin10111010010100…
…01110000000000
3111121121211020100
423221101300000
5400003314414
631215242400
74561421535
oct1351216000
9447554210
10195369984
11a03103a7
1255519400
1331625a54
141bd38d8c
1512242609
hexba51c00

195369984 has 264 divisors, whose sum is σ = 632277360. Its totient is φ = 57802752.

The previous prime is 195369971. The next prime is 195369997. The reversal of 195369984 is 489963591.

195369984 is a `hidden beast` number, since 19 + 536 + 9 + 98 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (195369971) and next prime (195369997).

It is a self number, because there is not a number n which added to its sum of digits gives 195369984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4543467 + ... + 4543509.

It is an arithmetic number, because the mean of its divisors is an integer number (2394990).

Almost surely, 2195369984 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 195369984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316138680).

195369984 is an abundant number, since it is smaller than the sum of its proper divisors (436907376).

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

195369984 is a wasteful number, since it uses less digits than its factorization.

195369984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 94 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 195369984 is about 13977.4813181775. The cubic root of 195369984 is about 580.2555195980.

The spelling of 195369984 in words is "one hundred ninety-five million, three hundred sixty-nine thousand, nine hundred eighty-four".