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199639080 = 23355192347
BaseRepresentation
bin10111110011001…
…00000000101000
3111220122201100000
423321210000220
5402101422310
631450543000
74642622064
oct1371440050
9456581300
10199639080
11a2766883
1256a37a60
133248bc44
141c72aaa4
15127d74c0
hexbe64028

199639080 has 384 divisors, whose sum is σ = 754790400. Its totient is φ = 47215872.

The previous prime is 199639073. The next prime is 199639093. The reversal of 199639080 is 80936991.

199639080 is a `hidden beast` number, since 1 + 9 + 9 + 639 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 4247617 + ... + 4247663.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 2199639080 is an apocalyptic number.

199639080 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 199639080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377395200).

199639080 is an abundant number, since it is smaller than the sum of its proper divisors (555151320).

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

199639080 is a wasteful number, since it uses less digits than its factorization.

199639080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 199639080 is about 14129.3694126808. The cubic root of 199639080 is about 584.4515569961.

The spelling of 199639080 in words is "one hundred ninety-nine million, six hundred thirty-nine thousand, eighty".