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12613032 = 2332315651
BaseRepresentation
bin110000000111…
…010110101000
3212201210211100
4300013112220
511212104112
61130201400
7212131455
oct60072650
925653740
1012613032
1171353a3
124283260
1327c8043
14196482c
1511922dc
hexc075a8

12613032 has 48 divisors (see below), whose sum is σ = 35268480. Its totient is φ = 4068000.

The previous prime is 12613021. The next prime is 12613037. The reversal of 12613032 is 23031621.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12612996 and 12613014.

It is not an unprimeable number, because it can be changed into a prime (12613037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 594 + ... + 5057.

It is an arithmetic number, because the mean of its divisors is an integer number (734760).

Almost surely, 212613032 is an apocalyptic number.

12613032 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 12613032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17634240).

12613032 is an abundant number, since it is smaller than the sum of its proper divisors (22655448).

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

12613032 is a wasteful number, since it uses less digits than its factorization.

12613032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5694 (or 5687 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 12613032 is about 3551.4830704932. The cubic root of 12613032 is about 232.7768744521.

Adding to 12613032 its reverse (23031621), we get a palindrome (35644653).

The spelling of 12613032 in words is "twelve million, six hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 5651 11302 16953 22604 33906 45208 50859 67812 101718 135624 175181 203436 350362 406872 525543 700724 1051086 1401448 1576629 2102172 3153258 4204344 6306516 12613032