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12060288 = 273219229
BaseRepresentation
bin101110000000…
…011010000000
3211200201121100
4232000122000
511041412123
61110254400
7204340122
oct56003200
924621540
1012060288
116898089
124057400
132663586
14185d212
1510d3643
hexb80680

12060288 has 144 divisors (see below), whose sum is σ = 37890450. Its totient is φ = 3677184.

The previous prime is 12060281. The next prime is 12060289. The reversal of 12060288 is 88206021.

It can be written as a sum of positive squares in only one way, i.e., 10188864 + 1871424 = 3192^2 + 1368^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (12060281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 415858 + ... + 415886.

Almost surely, 212060288 is an apocalyptic number.

12060288 is a gapful number since it is divisible by the number (18) 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 12060288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18945225).

12060288 is an abundant number, since it is smaller than the sum of its proper divisors (25830162).

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

12060288 is a wasteful number, since it uses less digits than its factorization.

12060288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 12060288 is about 3472.7925362739. The cubic root of 12060288 is about 229.3256111816.

The spelling of 12060288 in words is "twelve million, sixty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 29 32 36 38 48 57 58 64 72 76 87 96 114 116 128 144 152 171 174 192 228 232 261 288 304 342 348 361 384 456 464 522 551 576 608 684 696 722 912 928 1044 1083 1102 1152 1216 1368 1392 1444 1653 1824 1856 2088 2166 2204 2432 2736 2784 2888 3249 3306 3648 3712 4176 4332 4408 4959 5472 5568 5776 6498 6612 7296 8352 8664 8816 9918 10469 10944 11136 11552 12996 13224 16704 17328 17632 19836 20938 21888 23104 25992 26448 31407 33408 34656 35264 39672 41876 46208 51984 52896 62814 69312 70528 79344 83752 94221 103968 105792 125628 138624 158688 167504 188442 207936 211584 251256 317376 335008 376884 415872 502512 634752 670016 753768 1005024 1340032 1507536 2010048 3015072 4020096 6030144 12060288