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12244960 = 255713292
BaseRepresentation
bin101110101101…
…011111100000
3212001002221001
4232231133200
511113314320
61114241344
7206036410
oct56553740
925032831
1012244960
116a03902
124126254
1326c9650
1418aa640
15111d20a
hexbad7e0

12244960 has 144 divisors (see below), whose sum is σ = 36874656. Its totient is φ = 3741696.

The previous prime is 12244909. The next prime is 12244997. The reversal of 12244960 is 6944221.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 422226 + ... + 422254.

It is an arithmetic number, because the mean of its divisors is an integer number (256074).

Almost surely, 212244960 is an apocalyptic number.

12244960 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 12244960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18437328).

12244960 is an abundant number, since it is smaller than the sum of its proper divisors (24629696).

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

12244960 is a wasteful number, since it uses less digits than its factorization.

12244960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 12244960 is about 3499.2799259276. The cubic root of 12244960 is about 230.4901958460.

The spelling of 12244960 in words is "twelve million, two hundred forty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 29 32 35 40 52 56 58 65 70 80 91 104 112 116 130 140 145 160 182 203 208 224 232 260 280 290 364 377 406 416 455 464 520 560 580 728 754 812 841 910 928 1015 1040 1120 1160 1456 1508 1624 1682 1820 1885 2030 2080 2320 2639 2912 3016 3248 3364 3640 3770 4060 4205 4640 5278 5887 6032 6496 6728 7280 7540 8120 8410 10556 10933 11774 12064 13195 13456 14560 15080 16240 16820 21112 21866 23548 26390 26912 29435 30160 32480 33640 42224 43732 47096 52780 54665 58870 60320 67280 76531 84448 87464 94192 105560 109330 117740 134560 153062 174928 188384 211120 218660 235480 306124 349856 382655 422240 437320 470960 612248 765310 874640 941920 1224496 1530620 1749280 2448992 3061240 6122480 12244960