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11712060 = 2233523241
BaseRepresentation
bin101100101011…
…011000111100
3211001000221000
4230223120330
510444241220
61055010300
7201356643
oct54533074
924030830
1011712060
11667a498
123b09990
132570c19
1417ac35a
151065390
hexb2b63c

11712060 has 144 divisors (see below), whose sum is σ = 39019680. Its totient is φ = 2914560.

The previous prime is 11712059. The next prime is 11712073. The reversal of 11712060 is 6021711.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 285640 + ... + 285680.

It is an arithmetic number, because the mean of its divisors is an integer number (270970).

Almost surely, 211712060 is an apocalyptic number.

11712060 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 11712060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19509840).

11712060 is an abundant number, since it is smaller than the sum of its proper divisors (27307620).

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

11712060 is a wasteful number, since it uses less digits than its factorization.

11712060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 11712060 is about 3422.2887078679. The cubic root of 11712060 is about 227.0968426345.

Adding to 11712060 its reverse (6021711), we get a palindrome (17733771).

The spelling of 11712060 in words is "eleven million, seven hundred twelve thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 41 45 46 54 60 69 82 90 92 108 115 123 135 138 164 180 205 207 230 246 270 276 345 369 410 414 460 492 529 540 615 621 690 738 820 828 943 1035 1058 1107 1230 1242 1380 1476 1587 1845 1886 2070 2116 2214 2460 2484 2645 2829 3105 3174 3690 3772 4140 4428 4715 4761 5290 5535 5658 6210 6348 7380 7935 8487 9430 9522 10580 11070 11316 12420 14145 14283 15870 16974 18860 19044 21689 22140 23805 25461 28290 28566 31740 33948 42435 43378 47610 50922 56580 57132 65067 71415 84870 86756 95220 101844 108445 127305 130134 142830 169740 195201 216890 254610 260268 285660 325335 390402 433780 509220 585603 650670 780804 976005 1171206 1301340 1952010 2342412 2928015 3904020 5856030 11712060