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196505400 = 233527135961
BaseRepresentation
bin10111011011001…
…10111100111000
3111200202111201210
423231212330320
5400301133100
631255443120
74604161020
oct1355467470
9450674653
10196505400
11a0a16463
12559864a0
13319327b0
141c152a80
15123b8c50
hexbb66f38

196505400 has 384 divisors, whose sum is σ = 774950400. Its totient is φ = 40089600.

The previous prime is 196505383. The next prime is 196505401. The reversal of 196505400 is 4505691.

196505400 = T205 + T206 + ... + T1058.

196505400 is a nontrivial binomial coefficient, being equal to C(19825, 2).

It is a super-2 number, since 2×1965054002 = 77228744458320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196505401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3221370 + ... + 3221430.

It is an arithmetic number, because the mean of its divisors is an integer number (2018100).

Almost surely, 2196505400 is an apocalyptic number.

196505400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

196505400 is the 19824-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196505400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387475200).

196505400 is an abundant number, since it is smaller than the sum of its proper divisors (578445000).

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

196505400 is a wasteful number, since it uses less digits than its factorization.

196505400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 196505400 is about 14018.0383791742. The cubic root of 196505400 is about 581.3774237922.

The spelling of 196505400 in words is "one hundred ninety-six million, five hundred five thousand, four hundred".