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1325668680 = 23345758451
BaseRepresentation
bin100111100000100…
…0001100101001000
310102101110221120000
41033001001211020
510203332344210
6335313403000
744564666160
oct11701014510
93371427500
101325668680
1162033a556
1230bb69460
1318185464b
14c80c35a0
157b5b0ac0
hex4f041948

1325668680 has 160 divisors (see below), whose sum is σ = 5092338240. Its totient is φ = 303004800.

The previous prime is 1325668667. The next prime is 1325668681. The reversal of 1325668680 is 868665231.

1325668680 is a `hidden beast` number, since 1 + 3 + 2 + 566 + 8 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1325668681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6546 + ... + 51905.

It is an arithmetic number, because the mean of its divisors is an integer number (31827114).

Almost surely, 21325668680 is an apocalyptic number.

1325668680 is a gapful number since it is divisible by the number (10) 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 1325668680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546169120).

1325668680 is an abundant number, since it is smaller than the sum of its proper divisors (3766669560).

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

1325668680 is a wasteful number, since it uses less digits than its factorization.

1325668680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58481 (or 58468 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 1325668680 is about 36409.7333140467. The cubic root of 1325668680 is about 1098.5293514924.

It can be divided in two parts, 132566 and 8680, that added together give a triangular number (141246 = T531).

The spelling of 1325668680 in words is "one billion, three hundred twenty-five million, six hundred sixty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4536 5670 7560 11340 22680 58451 116902 175353 233804 292255 350706 409157 467608 526059 584510 701412 818314 876765 1052118 1169020 1227471 1402824 1578177 1636628 1753530 2045785 2104236 2338040 2454942 2630295 3156354 3273256 3507060 3682413 4091570 4208472 4734531 4909884 5260590 6137355 6312708 7014120 7364826 7890885 8183140 9469062 9819768 10521180 11047239 12274710 12625416 14729652 15781770 16366280 18412065 18938124 21042360 22094478 23672655 24549420 29459304 31563540 33141717 36824130 37876248 44188956 47345310 49098840 55236195 63127080 66283434 73648260 88377912 94690620 110472390 132566868 147296520 165708585 189381240 220944780 265133736 331417170 441889560 662834340 1325668680