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1682096304 = 243721136329
BaseRepresentation
bin110010001000010…
…1100000010110000
311100020011100100010
41210100230002300
511421104040204
6434525054520
756453403600
oct14420540260
94306140303
101682096304
11793554939
123ab3b7440
1320a64b375
1411d584c00
159ca18d89
hex6442c0b0

1682096304 has 120 divisors (see below), whose sum is σ = 5100410160. Its totient is φ = 476270592.

The previous prime is 1682096291. The next prime is 1682096327. The reversal of 1682096304 is 4036902861.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262612 + ... + 268940.

It is an arithmetic number, because the mean of its divisors is an integer number (42503418).

Almost surely, 21682096304 is an apocalyptic number.

1682096304 is a gapful number since it is divisible by the number (14) 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 1682096304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2550205080).

1682096304 is an abundant number, since it is smaller than the sum of its proper divisors (3418313856).

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

1682096304 is a wasteful number, since it uses less digits than its factorization.

1682096304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6467 (or 6454 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 1682096304 is about 41013.3673818671. The cubic root of 1682096304 is about 1189.2786400889.

The spelling of 1682096304 in words is "one billion, six hundred eighty-two million, ninety-six thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 113 147 168 196 226 294 336 339 392 452 588 678 784 791 904 1176 1356 1582 1808 2352 2373 2712 3164 4746 5424 5537 6328 6329 9492 11074 12656 12658 16611 18984 18987 22148 25316 33222 37968 37974 44296 44303 50632 66444 75948 88592 88606 101264 132888 132909 151896 177212 265776 265818 303792 310121 354424 531636 620242 708848 715177 930363 1063272 1240484 1430354 1860726 2126544 2145531 2480968 2860708 3721452 4291062 4961936 5006239 5721416 7442904 8582124 10012478 11442832 14885808 15018717 17164248 20024956 30037434 34328496 35043673 40049912 60074868 70087346 80099824 105131019 120149736 140174692 210262038 240299472 280349384 420524076 560698768 841048152 1682096304