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1930203912 = 2337131276959
BaseRepresentation
bin111001100001100…
…1001001100001000
311222112000111222210
41303003021030020
512423113011122
6515310545120
765555314440
oct16303111410
94875014883
101930203912
1190060584a
1245a5081a0
13249b7a5c0
141444cb120
15b46c740c
hex730c9308

1930203912 has 128 divisors (see below), whose sum is σ = 5986713600. Its totient is φ = 504983808.

The previous prime is 1930203887. The next prime is 1930203949. The reversal of 1930203912 is 2193020391.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1930203912.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273889 + ... + 280847.

It is an arithmetic number, because the mean of its divisors is an integer number (46771200).

Almost surely, 21930203912 is an apocalyptic number.

1930203912 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 1930203912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993356800).

1930203912 is an abundant number, since it is smaller than the sum of its proper divisors (4056509688).

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

1930203912 is a wasteful number, since it uses less digits than its factorization.

1930203912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7115 (or 7111 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 1930203912 is about 43934.0859925411. The cubic root of 1930203912 is about 1245.0909138300.

The spelling of 1930203912 in words is "one billion, nine hundred thirty million, two hundred three thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 127 156 168 182 254 273 312 364 381 508 546 728 762 889 1016 1092 1524 1651 1778 2184 2667 3048 3302 3556 4953 5334 6604 6959 7112 9906 10668 11557 13208 13918 19812 20877 21336 23114 27836 34671 39624 41754 46228 48713 55672 69342 83508 90467 92456 97426 138684 146139 167016 180934 194852 271401 277368 292278 361868 389704 542802 584556 633269 723736 883793 1085604 1169112 1266538 1767586 1899807 2171208 2533076 2651379 3535172 3799614 5066152 5302758 6186551 7070344 7599228 10605516 11489309 12373102 15198456 18559653 21211032 22978618 24746204 34467927 37119306 45957236 49492408 68935854 74238612 80425163 91914472 137871708 148477224 160850326 241275489 275743416 321700652 482550978 643401304 965101956 1930203912