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12533016 = 2335359167
BaseRepresentation
bin101111110011…
…110100011000
3212120202001210
4233303310120
511202024031
61124343120
7211346256
oct57636430
925522053
1012533016
117090271
124244aa0
13279a7b2
1419435d6
151178746
hexbf3d18

12533016 has 64 divisors (see below), whose sum is σ = 32659200. Its totient is φ = 4005248.

The previous prime is 12533009. The next prime is 12533023. The reversal of 12533016 is 61033521.

It is an interprime number because it is at equal distance from previous prime (12533009) and next prime (12533023).

It is a junction number, because it is equal to n+sod(n) for n = 12532983 and 12533001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74965 + ... + 75131.

It is an arithmetic number, because the mean of its divisors is an integer number (510300).

Almost surely, 212533016 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 12533016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

12533016 is an abundant number, since it is smaller than the sum of its proper divisors (20126184).

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

12533016 is a wasteful number, since it uses less digits than its factorization.

12533016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 12533016 is about 3540.1999943506. The cubic root of 12533016 is about 232.2835909768.

Adding to 12533016 its reverse (61033521), we get a palindrome (73566537).

It can be divided in two parts, 12 and 533016, that added together give a triangular number (533028 = T1032).

The spelling of 12533016 in words is "twelve million, five hundred thirty-three thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 24 53 59 106 118 159 167 177 212 236 318 334 354 424 472 501 636 668 708 1002 1272 1336 1416 2004 3127 4008 6254 8851 9381 9853 12508 17702 18762 19706 25016 26553 29559 35404 37524 39412 53106 59118 70808 75048 78824 106212 118236 212424 236472 522209 1044418 1566627 2088836 3133254 4177672 6266508 12533016