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12246960 = 2435114639
BaseRepresentation
bin101110101101…
…111110110000
3212001012200010
4232231332300
511113400320
61114254520
7206045265
oct56557660
925035603
1012246960
116a05360
124127440
1326ca52b
1418ab26c
15111dae0
hexbadfb0

12246960 has 80 divisors (see below), whose sum is σ = 41425920. Its totient is φ = 2968320.

The previous prime is 12246943. The next prime is 12246967. The reversal of 12246960 is 6964221.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (12246967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321 + ... + 4959.

It is an arithmetic number, because the mean of its divisors is an integer number (517824).

Almost surely, 212246960 is an apocalyptic number.

12246960 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 12246960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20712960).

12246960 is an abundant number, since it is smaller than the sum of its proper divisors (29178960).

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

12246960 is a wasteful number, since it uses less digits than its factorization.

12246960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4666 (or 4660 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 12246960 is about 3499.5656873389. The cubic root of 12246960 is about 230.5027440099.

The spelling of 12246960 in words is "twelve million, two hundred forty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 4639 9278 13917 18556 23195 27834 37112 46390 51029 55668 69585 74224 92780 102058 111336 139170 153087 185560 204116 222672 255145 278340 306174 371120 408232 510290 556680 612348 765435 816464 1020580 1113360 1224696 1530870 2041160 2449392 3061740 4082320 6123480 12246960