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119196800 = 27521932
BaseRepresentation
bin1110001101011…
…00110010000000
322022021211021022
413012230302000
5221003244200
615454445012
72645104352
oct706546200
9268254238
10119196800
1161313358
1233b03768
131b905468
1411b8b0d2
15a6e7885
hex71acc80

119196800 has 72 divisors (see below), whose sum is σ = 295986915. Its totient is φ = 47431680.

The previous prime is 119196793. The next prime is 119196811. The reversal of 119196800 is 8691911.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 15808576 + 103388224 = 3976^2 + 10168^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=7720.

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 8 ways as a sum of consecutive naturals, for example, 617504 + ... + 617696.

Almost surely, 2119196800 is an apocalyptic number.

119196800 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 119196800

119196800 is an abundant number, since it is smaller than the sum of its proper divisors (176790115).

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

119196800 is an frugal number, since it uses more digits than its factorization.

119196800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 35.

The square root of 119196800 is about 10917.7287015203. The cubic root of 119196800 is about 492.1394717727.

The spelling of 119196800 in words is "one hundred nineteen million, one hundred ninety-six thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 193 200 320 386 400 640 772 800 965 1544 1600 1930 3088 3200 3860 4825 6176 7720 9650 12352 15440 19300 24704 30880 37249 38600 61760 74498 77200 123520 148996 154400 186245 297992 308800 372490 595984 617600 744980 931225 1191968 1489960 1862450 2383936 2979920 3724900 4767872 5959840 7449800 11919680 14899600 23839360 29799200 59598400 119196800