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12129568 = 2511172027
BaseRepresentation
bin101110010001…
…010100100000
3211211020122021
4232101110200
511101121233
61111551224
7205046113
oct56212440
924736567
1012129568
116935140
12408b514
132688c79
14187a57a
1510e8e2d
hexb91520

12129568 has 48 divisors (see below), whose sum is σ = 27597024. Its totient is φ = 5186560.

The previous prime is 12129539. The next prime is 12129571. The reversal of 12129568 is 86592121.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4971 + ... + 6997.

It is an arithmetic number, because the mean of its divisors is an integer number (574938).

Almost surely, 212129568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12129568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13798512).

12129568 is an abundant number, since it is smaller than the sum of its proper divisors (15467456).

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

12129568 is a wasteful number, since it uses less digits than its factorization.

12129568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065 (or 2057 counting only the distinct ones).

The product of its digits is 8640, while the sum is 34.

The square root of 12129568 is about 3482.7529341026. The cubic root of 12129568 is about 229.7638912887.

The spelling of 12129568 in words is "twelve million, one hundred twenty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1496 2027 2992 4054 5984 8108 16216 22297 32432 34459 44594 64864 68918 89188 137836 178376 275672 356752 379049 551344 713504 758098 1102688 1516196 3032392 6064784 12129568