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12168660 = 2235724139
BaseRepresentation
bin101110011010…
…110111010100
3211220020021010
4232122313110
511103344120
61112452220
7205301100
oct56326724
924806233
1012168660
116961549
1240aa070
1326a09ba
14188a900
1511057e0
hexb9add4

12168660 has 72 divisors (see below), whose sum is σ = 39644640. Its totient is φ = 2780736.

The previous prime is 12168643. The next prime is 12168697. The reversal of 12168660 is 6686121.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 871 + ... + 5009.

It is an arithmetic number, because the mean of its divisors is an integer number (550620).

Almost surely, 212168660 is an apocalyptic number.

12168660 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 12168660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19822320).

12168660 is an abundant number, since it is smaller than the sum of its proper divisors (27475980).

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

12168660 is a wasteful number, since it uses less digits than its factorization.

12168660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4165 (or 4156 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 12168660 is about 3488.3606464928. The cubic root of 12168660 is about 230.0104595117.

The spelling of 12168660 in words is "twelve million, one hundred sixty-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 4139 8278 12417 16556 20695 24834 28973 41390 49668 57946 62085 82780 86919 115892 124170 144865 173838 202811 248340 289730 347676 405622 434595 579460 608433 811244 869190 1014055 1216866 1738380 2028110 2433732 3042165 4056220 6084330 12168660