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12962532 = 22311283347
BaseRepresentation
bin110001011100…
…101011100100
3220101120020210
4301130223210
511304300112
61141455420
7215115432
oct61345344
926346223
1012962532
117353a40
124411570
1328bb14b
141a15d52
151210b3c
hexc5cae4

12962532 has 48 divisors (see below), whose sum is σ = 33207552. Its totient is φ = 3902880.

The previous prime is 12962497. The next prime is 12962533. The reversal of 12962532 is 23526921.

12962532 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

12962532 is a Rhonda number in base 10.

Its product of digits (6480) is a multiple of the sum of its prime factors (648).

It is a self number, because there is not a number n which added to its sum of digits gives 12962532.

It is not an unprimeable number, because it can be changed into a prime (12962533) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37183 + ... + 37529.

It is an arithmetic number, because the mean of its divisors is an integer number (691824).

Almost surely, 212962532 is an apocalyptic number.

12962532 is a gapful number since it is divisible by the number (12) 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 12962532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16603776).

12962532 is an abundant number, since it is smaller than the sum of its proper divisors (20245020).

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

12962532 is a wasteful number, since it uses less digits than its factorization.

12962532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 646 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 12962532 is about 3600.3516494920. The cubic root of 12962532 is about 234.9073544569.

It can be divided in two parts, 1296 and 2532, that added together give a triangular number (3828 = T87).

The spelling of 12962532 in words is "twelve million, nine hundred sixty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 283 347 566 694 849 1041 1132 1388 1698 2082 3113 3396 3817 4164 6226 7634 9339 11451 12452 15268 18678 22902 37356 45804 98201 196402 294603 392804 589206 1080211 1178412 2160422 3240633 4320844 6481266 12962532