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196980192 = 25321793821
BaseRepresentation
bin10111011110110…
…10110111100000
3111201122122000200
423233122313200
5400411331232
631313545200
74611206163
oct1357326740
9451578020
10196980192
11a1210152
1255b75200
1331a6a936
141c237ada
151245e77c
hexbbdade0

196980192 has 72 divisors (see below), whose sum is σ = 563439240. Its totient is φ = 65276160.

The previous prime is 196980167. The next prime is 196980221. The reversal of 196980192 is 291089691.

196980192 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 49642 + ... + 53462.

It is an arithmetic number, because the mean of its divisors is an integer number (7825545).

Almost surely, 2196980192 is an apocalyptic number.

196980192 is a gapful number since it is divisible by the number (12) 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 196980192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281719620).

196980192 is an abundant number, since it is smaller than the sum of its proper divisors (366459048).

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

196980192 is a wasteful number, since it uses less digits than its factorization.

196980192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4016 (or 4005 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The square root of 196980192 is about 14034.9631990967. The cubic root of 196980192 is about 581.8452842725.

The spelling of 196980192 in words is "one hundred ninety-six million, nine hundred eighty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 179 288 358 537 716 1074 1432 1611 2148 2864 3222 3821 4296 5728 6444 7642 8592 11463 12888 15284 17184 22926 25776 30568 34389 45852 51552 61136 68778 91704 122272 137556 183408 275112 366816 550224 683959 1100448 1367918 2051877 2735836 4103754 5471672 6155631 8207508 10943344 12311262 16415016 21886688 24622524 32830032 49245048 65660064 98490096 196980192