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195830416 = 24191813559
BaseRepresentation
bin10111010110000…
…10001010010000
3111122111012211101
423223002022100
5400113033131
631233154144
74565350105
oct1353021220
9448435741
10195830416
11a05a5321
12556bb954
13317574b2
141c018aac
15122d3c61
hexbac2290

195830416 has 40 divisors (see below), whose sum is σ = 401710400. Its totient is φ = 92223360.

The previous prime is 195830407. The next prime is 195830419. The reversal of 195830416 is 614038591.

It is not an unprimeable number, because it can be changed into a prime (195830419) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 53245 + ... + 56803.

It is an arithmetic number, because the mean of its divisors is an integer number (10042760).

Almost surely, 2195830416 is an apocalyptic number.

195830416 is a gapful number since it is divisible by the number (16) 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 195830416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200855200).

195830416 is an abundant number, since it is smaller than the sum of its proper divisors (205879984).

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

195830416 is a wasteful number, since it uses less digits than its factorization.

195830416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3767 (or 3761 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 195830416 is about 13993.9421179309. The cubic root of 195830416 is about 580.7109948937.

The spelling of 195830416 in words is "one hundred ninety-five million, eight hundred thirty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 19 38 76 152 181 304 362 724 1448 2896 3439 3559 6878 7118 13756 14236 27512 28472 55024 56944 67621 135242 270484 540968 644179 1081936 1288358 2576716 5153432 10306864 12239401 24478802 48957604 97915208 195830416