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12187080 = 2332597349
BaseRepresentation
bin101110011111…
…010111001000
3211221011112100
4232133113020
511104441310
61113113400
7205405563
oct56372710
924834470
1012187080
116974374
1240b8860
1326a91b9
1418934da
15110aec0
hexb9f5c8

12187080 has 96 divisors (see below), whose sum is σ = 40131000. Its totient is φ = 3207168.

The previous prime is 12187073. The next prime is 12187117. The reversal of 12187080 is 8078121.

It is a Cunningham number, because it is equal to 34912-1.

It can be written as a sum of positive squares in 4 ways, for example, as 10614564 + 1572516 = 3258^2 + 1254^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34746 + ... + 35094.

Almost surely, 212187080 is an apocalyptic number.

12187080 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 12187080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20065500).

12187080 is an abundant number, since it is smaller than the sum of its proper divisors (27943920).

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

12187080 is a wasteful number, since it uses less digits than its factorization.

12187080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 12187080 is about 3490.9998567746. Note that the first 3 decimals coincide. The cubic root of 12187080 is about 230.1264584982.

The spelling of 12187080 in words is "twelve million, one hundred eighty-seven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 97 120 180 194 291 349 360 388 485 582 698 776 873 970 1047 1164 1396 1455 1745 1746 1940 2094 2328 2792 2910 3141 3490 3492 3880 4188 4365 5235 5820 6282 6980 6984 8376 8730 10470 11640 12564 13960 15705 17460 20940 25128 31410 33853 34920 41880 62820 67706 101559 125640 135412 169265 203118 270824 304677 338530 406236 507795 609354 677060 812472 1015590 1218708 1354120 1523385 2031180 2437416 3046770 4062360 6093540 12187080