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126096 = 2433771
BaseRepresentation
bin11110110010010000
320101222020
4132302100
513013341
62411440
71033425
oct366220
9211866
10126096
1186813
1260b80
1345519
1433d4c
1527566
hex1ec90

126096 has 40 divisors (see below), whose sum is σ = 339264. Its totient is φ = 40320.

The previous prime is 126079. The next prime is 126097. The reversal of 126096 is 690621.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126097) by changing a digit.

126096 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 7 ways as a sum of consecutive naturals, for example, 1741 + ... + 1811.

2126096 is an apocalyptic number.

126096 is a gapful number since it is divisible by the number (16) 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 126096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169632).

126096 is an abundant number, since it is smaller than the sum of its proper divisors (213168).

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

126096 is a wasteful number, since it uses less digits than its factorization.

126096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 126096 is about 355.0999859195. The cubic root of 126096 is about 50.1457083027.

The spelling of 126096 in words is "one hundred twenty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 71 74 111 142 148 213 222 284 296 426 444 568 592 852 888 1136 1704 1776 2627 3408 5254 7881 10508 15762 21016 31524 42032 63048 126096