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195981016 = 23711714481
BaseRepresentation
bin10111010111001…
…10111011011000
3111122202212102011
423223212323120
5400132343031
631240315304
74566545140
oct1353467330
9448685364
10195981016
11a0698490
1255772b34
13317aabca
141c057920
15123136b1
hexbae6ed8

195981016 has 64 divisors (see below), whose sum is σ = 464693760. Its totient is φ = 75264000.

The previous prime is 195980989. The next prime is 195981017. The reversal of 195981016 is 610189591.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 195981016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195981017) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 41496 + ... + 45976.

It is an arithmetic number, because the mean of its divisors is an integer number (7260840).

Almost surely, 2195981016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195981016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232346880).

195981016 is an abundant number, since it is smaller than the sum of its proper divisors (268712744).

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

195981016 is a wasteful number, since it uses less digits than its factorization.

195981016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4576 (or 4572 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 40.

The square root of 195981016 is about 13999.3219835819. The cubic root of 195981016 is about 580.8598186712.

The spelling of 195981016 in words is "one hundred ninety-five million, nine hundred eighty-one thousand, sixteen".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 71 77 88 142 154 284 308 497 568 616 781 994 1562 1988 3124 3976 4481 5467 6248 8962 10934 17924 21868 31367 35848 43736 49291 62734 98582 125468 197164 250936 318151 345037 394328 636302 690074 1272604 1380148 2227057 2545208 2760296 3499661 4454114 6999322 8908228 13998644 17816456 24497627 27997288 48995254 97990508 195981016