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320240260740 = 223561461189799
BaseRepresentation
bin1001010100011111100…
…11101001011010000100
31010121121002112210202210
410222033303221122010
520221323001320430
6403041044103420
732064565206021
oct4521763513204
91117532483683
10320240260740
111138a4307814
1252093994b70
1324277218c5a
14116dd2ca548
1584e45882b0
hex4a8fce9684

320240260740 has 96 divisors (see below), whose sum is σ = 913354041600. Its totient is φ = 83814796800.

The previous prime is 320240260727. The next prime is 320240260757. The reversal of 320240260740 is 47062042023.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 320240260698 and 320240260707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1592361 + ... + 1782159.

It is an arithmetic number, because the mean of its divisors is an integer number (9514104600).

Almost surely, 2320240260740 is an apocalyptic number.

320240260740 is a gapful number since it is divisible by the number (30) 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 320240260740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456677020800).

320240260740 is an abundant number, since it is smaller than the sum of its proper divisors (593113780860).

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

320240260740 is a wasteful number, since it uses less digits than its factorization.

320240260740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190333 (or 190331 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The spelling of 320240260740 in words is "three hundred twenty billion, two hundred forty million, two hundred sixty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 461 610 732 915 922 1220 1383 1830 1844 2305 2766 3660 4610 5532 6915 9220 13830 27660 28121 56242 84363 112484 140605 168726 189799 281210 337452 379598 421815 562420 569397 759196 843630 948995 1138794 1687260 1897990 2277588 2846985 3795980 5693970 11387940 11577739 23155478 34733217 46310956 57888695 69466434 87497339 115777390 138932868 173666085 174994678 231554780 262492017 347332170 349989356 437486695 524984034 694664340 874973390 1049968068 1312460085 1749946780 2624920170 5249840340 5337337679 10674675358 16012013037 21349350716 26686688395 32024026074 53373376790 64048052148 80060065185 106746753580 160120130370 320240260740