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12425616 = 243372587
BaseRepresentation
bin101111011001…
…100110010000
3212101021202000
4233121212100
511140104431
61122154000
7210421200
oct57314620
925337660
1012425616
117017605
1241b2900
132760948
141916400
1511569e6
hexbd9990

12425616 has 120 divisors (see below), whose sum is σ = 41559840. Its totient is φ = 3544128.

The previous prime is 12425597. The next prime is 12425629. The reversal of 12425616 is 61652421.

12425616 is a `hidden beast` number, since 1 + 2 + 42 + 5 + 616 = 666.

12425616 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

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

12425616 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 12425616.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20875 + ... + 21461.

It is an arithmetic number, because the mean of its divisors is an integer number (346332).

Almost surely, 212425616 is an apocalyptic number.

12425616 is a gapful number since it is divisible by the number (16) 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 12425616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20779920).

12425616 is an abundant number, since it is smaller than the sum of its proper divisors (29134224).

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

12425616 is a wasteful number, since it uses less digits than its factorization.

12425616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 599 counting only the distinct ones).

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

The square root of 12425616 is about 3524.9987234040. The cubic root of 12425616 is about 231.6181789269.

It can be divided in two parts, 12425 and 616, that added together give a triangular number (13041 = T161).

The spelling of 12425616 in words is "twelve million, four hundred twenty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 587 588 756 784 882 1008 1174 1176 1323 1512 1761 1764 2348 2352 2646 3024 3522 3528 4109 4696 5283 5292 7044 7056 8218 9392 10566 10584 12327 14088 15849 16436 21132 21168 24654 28176 28763 31698 32872 36981 42264 49308 57526 63396 65744 73962 84528 86289 98616 110943 115052 126792 147924 172578 197232 221886 230104 253584 258867 295848 345156 443772 460208 517734 591696 690312 776601 887544 1035468 1380624 1553202 1775088 2070936 3106404 4141872 6212808 12425616