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12932082 = 233713373
BaseRepresentation
bin110001010101…
…001111110010
3220100000111000
4301111033302
511302311312
61141102430
7214630602
oct61251762
926300430
1012932082
117333079
1243b7a16
1328aa327
141a08c02
151206adc
hexc553f2

12932082 has 32 divisors (see below), whose sum is σ = 29151360. Its totient is φ = 4248720.

The previous prime is 12932081. The next prime is 12932083. The reversal of 12932082 is 28023921.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12932081) and next prime (12932083).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12932081) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2148 + ... + 5520.

It is an arithmetic number, because the mean of its divisors is an integer number (910980).

Almost surely, 212932082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12932082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14575680).

12932082 is an abundant number, since it is smaller than the sum of its proper divisors (16219278).

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

12932082 is a wasteful number, since it uses less digits than its factorization.

12932082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3455 (or 3449 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12932082 is about 3596.1204095525. The cubic root of 12932082 is about 234.7232716662.

It can be divided in two parts, 1293 and 2082, that added together give a cube (3375 = 153).

The spelling of 12932082 in words is "twelve million, nine hundred thirty-two thousand, eighty-two".

Divisors: 1 2 3 6 9 18 27 54 71 142 213 426 639 1278 1917 3373 3834 6746 10119 20238 30357 60714 91071 182142 239483 478966 718449 1436898 2155347 4310694 6466041 12932082