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199126368 = 2532798773
BaseRepresentation
bin10111101111001…
…10110101100000
3111212200200000200
423313212311200
5401434020433
631431545200
74635355230
oct1367466540
9455620020
10199126368
11a2446651
125682b200
133233c76c
141c635cc0
1512735613
hexbde6d60

199126368 has 72 divisors (see below), whose sum is σ = 647167248. Its totient is φ = 56892672.

The previous prime is 199126363. The next prime is 199126391. The reversal of 199126368 is 863621991.

It is a happy number.

199126368 is a `hidden beast` number, since 1 + 9 + 9 + 1 + 2 + 636 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199126363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47371 + ... + 51402.

It is an arithmetic number, because the mean of its divisors is an integer number (8988434).

Almost surely, 2199126368 is an apocalyptic number.

199126368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

199126368 is an abundant number, since it is smaller than the sum of its proper divisors (448040880).

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

199126368 is a wasteful number, since it uses less digits than its factorization.

199126368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98796 (or 98785 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 199126368 is about 14111.2142638399. The cubic root of 199126368 is about 583.9507996332.

The spelling of 199126368 in words is "one hundred ninety-nine million, one hundred twenty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 98773 197546 296319 395092 592638 691411 790184 888957 1185276 1382822 1580368 1777914 2074233 2370552 2765644 3160736 3555828 4148466 4741104 5531288 6222699 7111656 8296932 9482208 11062576 12445398 14223312 16593864 22125152 24890796 28446624 33187728 49781592 66375456 99563184 199126368