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199740060 = 223351337769
BaseRepresentation
bin10111110011111…
…00101010011100
3111220211211212000
423321330222130
5402113140220
631453042300
74643522352
oct1371745234
9456754760
10199740060
11a2825733
1256a86390
13324c5bb0
141c7557d2
1512807390
hexbe7ca9c

199740060 has 192 divisors, whose sum is σ = 688195200. Its totient is φ = 47775744.

The previous prime is 199740041. The next prime is 199740071. The reversal of 199740060 is 60047991.

199740060 is a `hidden beast` number, since 199 + 7 + 400 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 199739997 and 199740024.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 259356 + ... + 260124.

It is an arithmetic number, because the mean of its divisors is an integer number (3584350).

Almost surely, 2199740060 is an apocalyptic number.

199740060 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 199740060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344097600).

199740060 is an abundant number, since it is smaller than the sum of its proper divisors (488455140).

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

199740060 is a wasteful number, since it uses less digits than its factorization.

199740060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 199740060 is about 14132.9423688063. The cubic root of 199740060 is about 584.5500814105.

The spelling of 199740060 in words is "one hundred ninety-nine million, seven hundred forty thousand, sixty".