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12242560 = 275113747
BaseRepresentation
bin101110101100…
…111010000000
3212000222122011
4232230322000
511113230220
61114222304
7206026411
oct56547200
925028564
1012242560
116a02020
124124994
1326c8525
1418a9808
15111c65a
hexbace80

12242560 has 128 divisors (see below), whose sum is σ = 33488640. Its totient is φ = 4239360.

The previous prime is 12242557. The next prime is 12242561. The reversal of 12242560 is 6524221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (12242561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260457 + ... + 260503.

It is an arithmetic number, because the mean of its divisors is an integer number (261630).

Almost surely, 212242560 is an apocalyptic number.

12242560 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 12242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16744320).

12242560 is an abundant number, since it is smaller than the sum of its proper divisors (21246080).

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

12242560 is a wasteful number, since it uses less digits than its factorization.

12242560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 12242560 is about 3498.9369814274. The cubic root of 12242560 is about 230.4751362455.

Adding to 12242560 its reverse (6524221), we get a palindrome (18766781).

The spelling of 12242560 in words is "twelve million, two hundred forty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 37 40 44 47 55 64 74 80 88 94 110 128 148 160 176 185 188 220 235 296 320 352 370 376 407 440 470 517 592 640 704 740 752 814 880 940 1034 1184 1408 1480 1504 1628 1739 1760 1880 2035 2068 2368 2585 2960 3008 3256 3478 3520 3760 4070 4136 4736 5170 5920 6016 6512 6956 7040 7520 8140 8272 8695 10340 11840 13024 13912 15040 16280 16544 17390 19129 20680 23680 26048 27824 30080 32560 33088 34780 38258 41360 52096 55648 65120 66176 69560 76516 82720 95645 111296 130240 139120 153032 165440 191290 222592 260480 278240 306064 330880 382580 556480 612128 765160 1112960 1224256 1530320 2448512 3060640 6121280 12242560