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12318180 = 22357139211
BaseRepresentation
bin101110111111…
…010111100100
3212011211100220
4232333113210
511123140210
61120004340
7206463030
oct56772744
925154326
1012318180
116a53916
1241606b0
132723a84
1418c91c0
151134c70
hexbbf5e4

12318180 has 96 divisors (see below), whose sum is σ = 39889920. Its totient is φ = 2782080.

The previous prime is 12318143. The next prime is 12318193. The reversal of 12318180 is 8181321.

It is a self number, because there is not a number n which added to its sum of digits gives 12318180.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58275 + ... + 58485.

It is an arithmetic number, because the mean of its divisors is an integer number (415520).

Almost surely, 212318180 is an apocalyptic number.

12318180 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 12318180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19944960).

12318180 is an abundant number, since it is smaller than the sum of its proper divisors (27571740).

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

12318180 is a wasteful number, since it uses less digits than its factorization.

12318180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 12318180 is about 3509.7264850697. The cubic root of 12318180 is about 230.9486964645.

The spelling of 12318180 in words is "twelve million, three hundred eighteen thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 139 140 210 211 278 417 420 422 556 633 695 834 844 973 1055 1266 1390 1477 1668 1946 2085 2110 2532 2780 2919 2954 3165 3892 4170 4220 4431 4865 5838 5908 6330 7385 8340 8862 9730 11676 12660 14595 14770 17724 19460 22155 29190 29329 29540 44310 58380 58658 87987 88620 117316 146645 175974 205303 293290 351948 410606 439935 586580 615909 821212 879870 1026515 1231818 1759740 2053030 2463636 3079545 4106060 6159090 12318180