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12861632 = 267191511
BaseRepresentation
bin110001000100…
…000011000000
3220012102211202
4301010003000
511243033012
61135400332
7214215320
oct61040300
926172752
1012861632
117295153
1243830a8
132884244
1419cb280
1511e0cc2
hexc440c0

12861632 has 56 divisors (see below), whose sum is σ = 30723840. Its totient is φ = 5218560.

The previous prime is 12861631. The next prime is 12861637. The reversal of 12861632 is 23616821.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 12861595 and 12861604.

It is not an unprimeable number, because it can be changed into a prime (12861631) 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, 7757 + ... + 9267.

It is an arithmetic number, because the mean of its divisors is an integer number (548640).

Almost surely, 212861632 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 12861632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15361920).

12861632 is an abundant number, since it is smaller than the sum of its proper divisors (17862208).

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

12861632 is a wasteful number, since it uses less digits than its factorization.

12861632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549 (or 1539 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 12861632 is about 3586.3117544352. The cubic root of 12861632 is about 234.2962619540.

The spelling of 12861632 in words is "twelve million, eight hundred sixty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1064 1216 1511 2128 3022 4256 6044 8512 10577 12088 21154 24176 28709 42308 48352 57418 84616 96704 114836 169232 200963 229672 338464 401926 459344 676928 803852 918688 1607704 1837376 3215408 6430816 12861632