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126392 = 2373761
BaseRepresentation
bin11110110110111000
320102101012
4132312320
513021032
62413052
71034330
oct366670
9212335
10126392
1186a62
1261188
13456b6
14340c0
15276b2
hex1edb8

126392 has 32 divisors (see below), whose sum is σ = 282720. Its totient is φ = 51840.

The previous prime is 126359. The next prime is 126397. The reversal of 126392 is 293621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2042 + ... + 2102.

It is an arithmetic number, because the mean of its divisors is an integer number (8835).

2126392 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 126392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141360).

126392 is an abundant number, since it is smaller than the sum of its proper divisors (156328).

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

126392 is a wasteful number, since it uses less digits than its factorization.

126392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 107 counting only the distinct ones).

The product of its digits is 648, while the sum is 23.

The square root of 126392 is about 355.5165256356. The cubic root of 126392 is about 50.1849152837.

The spelling of 126392 in words is "one hundred twenty-six thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 28 37 56 61 74 122 148 244 259 296 427 488 518 854 1036 1708 2072 2257 3416 4514 9028 15799 18056 31598 63196 126392