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12245904 = 243411859
BaseRepresentation
bin101110101101…
…101110010000
3212001011020000
4232231232100
511113332104
61114250000
7206042226
oct56555620
925034200
1012245904
116a04590
124126900
1326c9bc8
1418aab16
15111d639
hexbadb90

12245904 has 100 divisors (see below), whose sum is σ = 38710320. Its totient is φ = 3706560.

The previous prime is 12245879. The next prime is 12245929. The reversal of 12245904 is 40954221.

It is an interprime number because it is at equal distance from previous prime (12245879) and next prime (12245929).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13827 + ... + 14685.

Almost surely, 212245904 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 12245904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19355160).

12245904 is an abundant number, since it is smaller than the sum of its proper divisors (26464416).

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

12245904 is a wasteful number, since it uses less digits than its factorization.

12245904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 12245904 is about 3499.4148082215. The cubic root of 12245904 is about 230.4961187496.

The spelling of 12245904 in words is "twelve million, two hundred forty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 264 297 324 396 432 528 594 648 792 859 891 1188 1296 1584 1718 1782 2376 2577 3436 3564 4752 5154 6872 7128 7731 9449 10308 13744 14256 15462 18898 20616 23193 28347 30924 37796 41232 46386 56694 61848 69579 75592 85041 92772 113388 123696 139158 151184 170082 185544 226776 255123 278316 340164 371088 453552 510246 556632 680328 765369 1020492 1113264 1360656 1530738 2040984 3061476 4081968 6122952 12245904