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126387 = 3331151
BaseRepresentation
bin11110110110110011
320102101000
4132312303
513021022
62413043
71034322
oct366663
9212330
10126387
1186a58
1261183
13456b1
14340b9
15276ac
hex1edb3

126387 has 16 divisors (see below), whose sum is σ = 194560. Its totient is φ = 81000.

The previous prime is 126359. The next prime is 126397. The reversal of 126387 is 783621.

126387 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 126387 - 26 = 126323 is a prime.

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

It is a d-powerful number, because it can be written as 1 + 213 + 33 + 6 + 83 + 76 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 126387.

It is not an unprimeable number, because it can be changed into a prime (126307) 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, 762 + ... + 912.

It is an arithmetic number, because the mean of its divisors is an integer number (12160).

2126387 is an apocalyptic number.

126387 is a deficient number, since it is larger than the sum of its proper divisors (68173).

126387 is a wasteful number, since it uses less digits than its factorization.

126387 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 185 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 126387 is about 355.5094935441. The cubic root of 126387 is about 50.1842535122.

The spelling of 126387 in words is "one hundred twenty-six thousand, three hundred eighty-seven".

Divisors: 1 3 9 27 31 93 151 279 453 837 1359 4077 4681 14043 42129 126387