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196512000 = 283532389
BaseRepresentation
bin10111011011010…
…00100100000000
3111200202211210020
423231220210000
5400301341000
631255533440
74604216166
oct1355504400
9450684706
10196512000
11a0a20413
125598a280
13319357b9
141c155236
15123baba0
hexbb68900

196512000 has 288 divisors, whose sum is σ = 688746240. Its totient is φ = 49561600.

The previous prime is 196511989. The next prime is 196512013. The reversal of 196512000 is 215691.

196512000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1965120002 = 77233932288000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2207956 + ... + 2208044.

It is an arithmetic number, because the mean of its divisors is an integer number (2391480).

Almost surely, 2196512000 is an apocalyptic number.

196512000 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 196512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344373120).

196512000 is an abundant number, since it is smaller than the sum of its proper divisors (492234240).

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

196512000 is an equidigital number, since it uses as much as digits as its factorization.

196512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 196512000 is about 14018.2737881666. The cubic root of 196512000 is about 581.3839326006.

Adding to 196512000 its reverse (215691), we get a palindrome (196727691).

The spelling of 196512000 in words is "one hundred ninety-six million, five hundred twelve thousand".