Search a number
-
+
126390 = 23511383
BaseRepresentation
bin11110110110110110
320102101010
4132312312
513021030
62413050
71034325
oct366666
9212333
10126390
1186a60
1261186
13456b4
14340bc
15276b0
hex1edb6

126390 has 32 divisors (see below), whose sum is σ = 331776. Its totient is φ = 30560.

The previous prime is 126359. The next prime is 126397. The reversal of 126390 is 93621.

It is a plaindrome in base 8.

It is a congruent number.

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

126390 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139 + ... + 521.

It is an arithmetic number, because the mean of its divisors is an integer number (10368).

2126390 is an apocalyptic number.

126390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165888).

126390 is an abundant number, since it is smaller than the sum of its proper divisors (205386).

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

126390 is a wasteful number, since it uses less digits than its factorization.

126390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 126390 is about 355.5137128157. The cubic root of 126390 is about 50.1846505772.

The spelling of 126390 in words is "one hundred twenty-six thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 383 766 1149 1915 2298 3830 4213 5745 8426 11490 12639 21065 25278 42130 63195 126390