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199206540 = 22365131051
BaseRepresentation
bin10111101111110…
…10011010001100
3111212211202000000
423313322122030
5401444102130
631433404300
74636141041
oct1367723214
9455752000
10199206540
11a24a0905
1256869690
133236a0c0
141c6571c8
151274e260
hexbdfa68c

199206540 has 168 divisors, whose sum is σ = 676103568. Its totient is φ = 48988800.

The previous prime is 199206533. The next prime is 199206551. The reversal of 199206540 is 45602991.

199206540 is a `hidden beast` number, since 1 + 99 + 20 + 6 + 540 = 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 = 199206495 and 199206504.

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 55 ways as a sum of consecutive naturals, for example, 189015 + ... + 190065.

It is an arithmetic number, because the mean of its divisors is an integer number (4024426).

Almost surely, 2199206540 is an apocalyptic number.

199206540 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 199206540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338051784).

199206540 is an abundant number, since it is smaller than the sum of its proper divisors (476897028).

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

199206540 is a wasteful number, since it uses less digits than its factorization.

199206540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 199206540 is about 14114.0546973575. The cubic root of 199206540 is about 584.0291589557.

The spelling of 199206540 in words is "one hundred ninety-nine million, two hundred six thousand, five hundred forty".