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180012540 = 223559211241
BaseRepresentation
bin10101011101011…
…00010111111100
3110112201120210010
422232230113330
5332040400130
625510143220
74314036621
oct1256542774
9415646703
10180012540
11926810a4
1250351b10
132b3a97c6
1419c9c348
1510c0c0b0
hexabac5fc

180012540 has 96 divisors (see below), whose sum is σ = 517144320. Its totient is φ = 46771200.

The previous prime is 180012533. The next prime is 180012601. The reversal of 180012540 is 45210081.

It is a congruent number.

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, 746820 + ... + 747060.

It is an arithmetic number, because the mean of its divisors is an integer number (5386920).

Almost surely, 2180012540 is an apocalyptic number.

180012540 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 180012540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258572160).

180012540 is an abundant number, since it is smaller than the sum of its proper divisors (337131780).

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

180012540 is a wasteful number, since it uses less digits than its factorization.

180012540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 180012540 is about 13416.8751950668. The cubic root of 180012540 is about 564.6347287928.

The spelling of 180012540 in words is "one hundred eighty million, twelve thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 211 236 241 295 354 422 482 590 633 708 723 844 885 964 1055 1180 1205 1266 1446 1770 2110 2410 2532 2892 3165 3540 3615 4220 4820 6330 7230 12449 12660 14219 14460 24898 28438 37347 42657 49796 50851 56876 62245 71095 74694 85314 101702 124490 142190 149388 152553 170628 186735 203404 213285 248980 254255 284380 305106 373470 426570 508510 610212 746940 762765 853140 1017020 1525530 3000209 3051060 6000418 9000627 12000836 15001045 18001254 30002090 36002508 45003135 60004180 90006270 180012540