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12180520 = 23511193147
BaseRepresentation
bin101110011101…
…110000101000
3211220211112101
4232131300220
511104234040
61113023144
7205350502
oct56356050
924824471
1012180520
11696a450
1240b4ab4
1326a6211
141890d72
15110909a
hexb9dc28

12180520 has 128 divisors (see below), whose sum is σ = 33177600. Its totient is φ = 3974400.

The previous prime is 12180503. The next prime is 12180527. The reversal of 12180520 is 2508121.

12180520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12180527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259137 + ... + 259183.

It is an arithmetic number, because the mean of its divisors is an integer number (259200).

Almost surely, 212180520 is an apocalyptic number.

12180520 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 12180520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16588800).

12180520 is an abundant number, since it is smaller than the sum of its proper divisors (20997080).

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

12180520 is a wasteful number, since it uses less digits than its factorization.

12180520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 12180520 is about 3490.0601714011. The cubic root of 12180520 is about 230.0851606507.

Adding to 12180520 its reverse (2508121), we get a palindrome (14688641).

The spelling of 12180520 in words is "twelve million, one hundred eighty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 31 38 40 44 47 55 62 76 88 94 95 110 124 152 155 188 190 209 220 235 248 310 341 376 380 418 440 470 517 589 620 682 760 836 893 940 1034 1045 1178 1240 1364 1457 1672 1705 1786 1880 2068 2090 2356 2585 2728 2914 2945 3410 3572 4136 4180 4465 4712 5170 5828 5890 6479 6820 7144 7285 8360 8930 9823 10340 11656 11780 12958 13640 14570 16027 17860 19646 20680 23560 25916 27683 29140 32054 32395 35720 39292 49115 51832 55366 58280 64108 64790 78584 80135 98230 110732 128216 129580 138415 160270 196460 221464 259160 276830 304513 320540 392920 553660 609026 641080 1107320 1218052 1522565 2436104 3045130 6090260 12180520