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12260928 = 263193361
BaseRepresentation
bin101110110001…
…011001000000
3212001220211110
4232301121000
511114322203
61114443320
7206134101
oct56613100
925056743
1012260928
116a148a9
124133540
1327039b4
1418b23a8
151122d03
hexbb1640

12260928 has 56 divisors (see below), whose sum is σ = 34157920. Its totient is φ = 3870720.

The previous prime is 12260923. The next prime is 12260953. The reversal of 12260928 is 82906221.

It is a junction number, because it is equal to n+sod(n) for n = 12260895 and 12260904.

It is not an unprimeable number, because it can be changed into a prime (12260921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1968 + ... + 5328.

Almost surely, 212260928 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 12260928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17078960).

12260928 is an abundant number, since it is smaller than the sum of its proper divisors (21896992).

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

12260928 is a wasteful number, since it uses less digits than its factorization.

12260928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3395 (or 3385 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 12260928 is about 3501.5607948456. The cubic root of 12260928 is about 230.5903423218.

The spelling of 12260928 in words is "twelve million, two hundred sixty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3361 3648 6722 10083 13444 20166 26888 40332 53776 63859 80664 107552 127718 161328 191577 215104 255436 322656 383154 510872 645312 766308 1021744 1532616 2043488 3065232 4086976 6130464 12260928