Search a number
-
+
196544040 = 233571189239
BaseRepresentation
bin10111011011100…
…00011000101000
3111200211110201220
423231300120220
5400303402130
631300342040
74604411460
oct1355603050
9450743656
10196544040
11a0a424a0
12559a4920
1331947264
141c162ba0
15123c5410
hexbb70628

196544040 has 256 divisors, whose sum is σ = 746496000. Its totient is φ = 40212480.

The previous prime is 196544011. The next prime is 196544041. The reversal of 196544040 is 40445691.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 196543992 and 196544010.

It is not an unprimeable number, because it can be changed into a prime (196544041) 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 63 ways as a sum of consecutive naturals, for example, 822241 + ... + 822479.

It is an arithmetic number, because the mean of its divisors is an integer number (2916000).

Almost surely, 2196544040 is an apocalyptic number.

196544040 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 196544040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373248000).

196544040 is an abundant number, since it is smaller than the sum of its proper divisors (549951960).

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

196544040 is a wasteful number, since it uses less digits than its factorization.

196544040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 196544040 is about 14019.4165356480. The cubic root of 196544040 is about 581.4155278364.

The spelling of 196544040 in words is "one hundred ninety-six million, five hundred forty-four thousand, forty".