Search a number
-
+
1939098112 = 297312563
BaseRepresentation
bin111001110010100…
…0100101000000000
312000010202101112121
41303211010220000
512432402114422
6520225334024
766024030160
oct16345045000
95003671477
101939098112
11905630126
12461497314
1324b972a43
141457645a0
15b53828c7
hex73944a00

1939098112 has 120 divisors (see below), whose sum is σ = 4583465568. Its totient is φ = 802805760.

The previous prime is 1939098101. The next prime is 1939098131. The reversal of 1939098112 is 2118909391.

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 11 ways as a sum of consecutive naturals, for example, 3443943 + ... + 3444505.

Almost surely, 21939098112 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 1939098112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291732784).

1939098112 is an abundant number, since it is smaller than the sum of its proper divisors (2644367456).

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

1939098112 is an frugal number, since it uses more digits than its factorization.

1939098112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 43.

The square root of 1939098112 is about 44035.1917447852. The cubic root of 1939098112 is about 1247.0004049279. Note that the first 3 decimals are identical.

The spelling of 1939098112 in words is "one billion, nine hundred thirty-nine million, ninety-eight thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 512 563 868 896 961 992 1126 1736 1792 1922 1984 2252 3472 3584 3844 3941 3968 4504 6727 6944 7688 7882 7936 9008 13454 13888 15376 15764 15872 17453 18016 26908 27776 30752 31528 34906 36032 53816 55552 61504 63056 69812 72064 107632 111104 122171 123008 126112 139624 144128 215264 244342 246016 252224 279248 288256 430528 488684 492032 504448 541043 558496 861056 977368 1008896 1082086 1116992 1722112 1954736 2017792 2164172 2233984 3444224 3787301 3909472 4328344 4467968 7574602 7818944 8656688 8935936 15149204 15637888 17313376 30298408 31275776 34626752 60596816 62551552 69253504 121193632 138507008 242387264 277014016 484774528 969549056 1939098112