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199430980 = 225721971033
BaseRepresentation
bin10111110001100…
…01001101000100
3111220021010212121
423320301031010
5402023242410
631442255324
74641064300
oct1370611504
9456233777
10199430980
11a26344a1
1256957544
13324182c8
141c6b4d00
15127959da
hexbe31344

199430980 has 72 divisors (see below), whose sum is σ = 490128408. Its totient is φ = 67963392.

The previous prime is 199430939. The next prime is 199430993. The reversal of 199430980 is 89034991.

It can be written as a sum of positive squares in 4 ways, for example, as 130507776 + 68923204 = 11424^2 + 8302^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192544 + ... + 193576.

It is an arithmetic number, because the mean of its divisors is an integer number (6807339).

Almost surely, 2199430980 is an apocalyptic number.

199430980 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 199430980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245064204).

199430980 is an abundant number, since it is smaller than the sum of its proper divisors (290697428).

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

199430980 is a wasteful number, since it uses less digits than its factorization.

199430980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 43.

The square root of 199430980 is about 14122.0033989516. The cubic root of 199430980 is about 584.2484126466.

The spelling of 199430980 in words is "one hundred ninety-nine million, four hundred thirty thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 197 245 394 490 788 980 985 1033 1379 1970 2066 2758 3940 4132 5165 5516 6895 7231 9653 10330 13790 14462 19306 20660 27580 28924 36155 38612 48265 50617 72310 96530 101234 144620 193060 202468 203501 253085 407002 506170 814004 1012340 1017505 1424507 2035010 2849014 4070020 5698028 7122535 9971549 14245070 19943098 28490140 39886196 49857745 99715490 199430980