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1832085930 = 2352313719381
BaseRepresentation
bin110110100110011…
…0110100110101010
311201200101121102110
41231030312212222
512223003222210
6501443543150
763254321253
oct15514664652
94650347373
101832085930
1186018a304
1243168aab6
1323274561c
14135469b2a
15aac95420
hex6d3369aa

1832085930 has 64 divisors (see below), whose sum is σ = 4621909248. Its totient is φ = 463879680.

The previous prime is 1832085883. The next prime is 1832085949. The reversal of 1832085930 is 395802381.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 84840 + ... + 104220.

It is an arithmetic number, because the mean of its divisors is an integer number (72217332).

Almost surely, 21832085930 is an apocalyptic number.

1832085930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1832085930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310954624).

1832085930 is an abundant number, since it is smaller than the sum of its proper divisors (2789823318).

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

1832085930 is a wasteful number, since it uses less digits than its factorization.

1832085930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19551.

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 1832085930 is about 42802.8729175975. The cubic root of 1832085930 is about 1223.6257653269.

The spelling of 1832085930 in words is "one billion, eight hundred thirty-two million, eighty-five thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 137 138 230 274 345 411 685 690 822 1370 2055 3151 4110 6302 9453 15755 18906 19381 31510 38762 47265 58143 94530 96905 116286 193810 290715 445763 581430 891526 1337289 2228815 2655197 2674578 4457630 5310394 6686445 7965591 13275985 13372890 15931182 26551970 39827955 61069531 79655910 122139062 183208593 305347655 366417186 610695310 916042965 1832085930