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12532416 = 263135021
BaseRepresentation
bin101111110011…
…101011000000
3212120201020120
4233303223000
511202014131
61124340240
7211344441
oct57635300
925521216
1012532416
11708a876
124244680
13279a440
1419432c8
151178496
hexbf3ac0

12532416 has 56 divisors (see below), whose sum is σ = 35716464. Its totient is φ = 3855360.

The previous prime is 12532397. The next prime is 12532439. The reversal of 12532416 is 61423521.

It is a super-2 number, since 2×125324162 = 314122901594112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 15 + ... + 5006.

It is an arithmetic number, because the mean of its divisors is an integer number (637794).

Almost surely, 212532416 is an apocalyptic number.

12532416 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 12532416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17858232).

12532416 is an abundant number, since it is smaller than the sum of its proper divisors (23184048).

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

12532416 is a wasteful number, since it uses less digits than its factorization.

12532416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5049 (or 5039 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 12532416 is about 3540.1152523611. The cubic root of 12532416 is about 232.2798841707.

Adding to 12532416 its reverse (61423521), we get a palindrome (73955937).

The spelling of 12532416 in words is "twelve million, five hundred thirty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 5021 10042 15063 20084 30126 40168 60252 65273 80336 120504 130546 160672 195819 241008 261092 321344 391638 482016 522184 783276 964032 1044368 1566552 2088736 3133104 4177472 6266208 12532416