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4084727130 = 2345113591277
BaseRepresentation
bin1111001101110111…
…1111110101011010
3101112200010122020000
43303131333311122
531331142232010
61513153513430
7203136415311
oct36335776532
911480118200
104084727130
1118067a3a50
1295bb72876
13501348603
142aa6cb278
1518d90e7c0
hexf377fd5a

4084727130 has 160 divisors (see below), whose sum is σ = 12024650880. Its totient is φ = 986705280.

The previous prime is 4084727107. The next prime is 4084727161. The reversal of 4084727130 is 317274804.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3198052 + ... + 3199328.

It is an arithmetic number, because the mean of its divisors is an integer number (75154068).

Almost surely, 24084727130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4084727130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6012325440).

4084727130 is an abundant number, since it is smaller than the sum of its proper divisors (7939923750).

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

4084727130 is a wasteful number, since it uses less digits than its factorization.

4084727130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4084727130 is about 63911.8700242764. The cubic root of 4084727130 is about 1598.5308297601.

The spelling of 4084727130 in words is "four billion, eighty-four million, seven hundred twenty-seven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 270 297 330 359 405 495 594 718 810 891 990 1077 1277 1485 1782 1795 2154 2554 2970 3231 3590 3831 3949 4455 5385 6385 6462 7662 7898 8910 9693 10770 11493 11847 12770 14047 16155 19155 19386 19745 22986 23694 28094 29079 32310 34479 35541 38310 39490 42141 48465 57465 58158 59235 68958 70235 71082 84282 96930 103437 106623 114930 118470 126423 140470 145395 172395 177705 206874 210705 213246 252846 290790 319869 344790 355410 379269 421410 458443 517185 533115 632115 639738 758538 916886 1034370 1066230 1137807 1264230 1375329 1599345 1896345 2275614 2292215 2750658 3198690 3792690 4125987 4584430 5042873 5689035 6876645 8251974 10085746 11378070 12377961 13753290 15128619 20629935 24755922 25214365 30257238 37133883 41259870 45385857 50428730 61889805 74267766 75643095 90771714 123779610 136157571 151286190 185669415 226929285 272315142 371338830 408472713 453858570 680787855 816945426 1361575710 2042363565 4084727130