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12240060 = 22357151193
BaseRepresentation
bin101110101100…
…010010111100
3212000212012120
4232230102330
511113140220
61114202540
7206016210
oct56542274
925025176
1012240060
116a00158
124123450
1326c7351
1418a8940
15111ba40
hexbac4bc

12240060 has 96 divisors (see below), whose sum is σ = 39631872. Its totient is φ = 2764800.

The previous prime is 12240037. The next prime is 12240061. The reversal of 12240060 is 6004221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12240061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63324 + ... + 63516.

It is an arithmetic number, because the mean of its divisors is an integer number (412832).

Almost surely, 212240060 is an apocalyptic number.

12240060 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 12240060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19815936).

12240060 is an abundant number, since it is smaller than the sum of its proper divisors (27391812).

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

12240060 is a wasteful number, since it uses less digits than its factorization.

12240060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 12240060 is about 3498.5797118259. The cubic root of 12240060 is about 230.4594470687.

Adding to 12240060 its reverse (6004221), we get a palindrome (18244281).

The spelling of 12240060 in words is "twelve million, two hundred forty thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 151 193 210 302 386 420 453 579 604 755 772 906 965 1057 1158 1351 1510 1812 1930 2114 2265 2316 2702 2895 3020 3171 3860 4053 4228 4530 5285 5404 5790 6342 6755 8106 9060 10570 11580 12684 13510 15855 16212 20265 21140 27020 29143 31710 40530 58286 63420 81060 87429 116572 145715 174858 204001 291430 349716 408002 437145 582860 612003 816004 874290 1020005 1224006 1748580 2040010 2448012 3060015 4080020 6120030 12240060