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1683253368 = 2332172575351
BaseRepresentation
bin110010001010100…
…0110100001111000
311100022100010112100
41210111012201320
511421403101433
6435005543400
756466263136
oct14425064170
94308303470
101683253368
11794175195
123ab874b60
1320a964c14
1411d7a6756
159cb96b13
hex64546878

1683253368 has 96 divisors (see below), whose sum is σ = 4846664160. Its totient is φ = 525926400.

The previous prime is 1683253349. The next prime is 1683253381. The reversal of 1683253368 is 8633523861.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311893 + ... + 317243.

It is an arithmetic number, because the mean of its divisors is an integer number (50486085).

Almost surely, 21683253368 is an apocalyptic number.

1683253368 is a gapful number since it is divisible by the number (18) 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 1683253368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423332080).

1683253368 is an abundant number, since it is smaller than the sum of its proper divisors (3163410792).

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

1683253368 is a wasteful number, since it uses less digits than its factorization.

1683253368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5637 (or 5630 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 1683253368 is about 41027.4708945116. The cubic root of 1683253368 is about 1189.5512673850.

The spelling of 1683253368 in words is "one billion, six hundred eighty-three million, two hundred fifty-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 257 306 408 514 612 771 1028 1224 1542 2056 2313 3084 4369 4626 5351 6168 8738 9252 10702 13107 16053 17476 18504 21404 26214 32106 34952 39321 42808 48159 52428 64212 78642 90967 96318 104856 128424 157284 181934 192636 272901 314568 363868 385272 545802 727736 818703 1091604 1375207 1637406 2183208 2750414 3274812 4125621 5500828 6549624 8251242 11001656 12376863 16502484 23378519 24753726 33004968 46757038 49507452 70135557 93514076 99014904 140271114 187028152 210406671 280542228 420813342 561084456 841626684 1683253368