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2931580680 = 2335719183683
BaseRepresentation
bin1010111010111100…
…0101111100001000
321120022021201200020
42232233011330020
522000441040210
61202521540440
7132435011310
oct25657057410
97508251606
102931580680
111274889a56
12699944720
1337947a332
141db4b6440
1512257b770
hexaebc5f08

2931580680 has 128 divisors (see below), whose sum is σ = 10580198400. Its totient is φ = 634804992.

The previous prime is 2931580607. The next prime is 2931580693. The reversal of 2931580680 is 860851392.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 75882 + ... + 107801.

It is an arithmetic number, because the mean of its divisors is an integer number (82657800).

Almost surely, 22931580680 is an apocalyptic number.

2931580680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2931580680 is an abundant number, since it is smaller than the sum of its proper divisors (7648617720).

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

2931580680 is a wasteful number, since it uses less digits than its factorization.

2931580680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183723 (or 183719 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 2931580680 is about 54144.0733598794. The cubic root of 2931580680 is about 1431.2009537295.

The spelling of 2931580680 in words is "two billion, nine hundred thirty-one million, five hundred eighty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 285 380 399 420 456 532 570 665 760 798 840 1064 1140 1330 1596 1995 2280 2660 3192 3990 5320 7980 15960 183683 367366 551049 734732 918415 1102098 1285781 1469464 1836830 2204196 2571562 2755245 3489977 3673660 3857343 4408392 5143124 5510490 6428905 6979954 7347320 7714686 10286248 10469931 11020980 12857810 13959908 15429372 17449885 19286715 20939862 22041960 24429839 25715620 27919816 30858744 34899770 38573430 41879724 48859678 51431240 52349655 69799540 73289517 77146860 83759448 97719356 104699310 122149195 139599080 146579034 154293720 195438712 209398620 244298390 293158068 366447585 418797240 488596780 586316136 732895170 977193560 1465790340 2931580680