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126714 = 2372431
BaseRepresentation
bin11110111011111010
320102211010
4132323322
513023324
62414350
71035300
oct367372
9212733
10126714
1187225
12613b6
13458a3
1434270
1527829
hex1eefa

126714 has 24 divisors (see below), whose sum is σ = 295488. Its totient is φ = 36120.

The previous prime is 126713. The next prime is 126719. The reversal of 126714 is 417621.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (126713) 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 11 ways as a sum of consecutive naturals, for example, 79 + ... + 509.

It is an arithmetic number, because the mean of its divisors is an integer number (12312).

2126714 is an apocalyptic number.

126714 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147744).

126714 is an abundant number, since it is smaller than the sum of its proper divisors (168774).

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

126714 is a wasteful number, since it uses less digits than its factorization.

126714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 443 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 126714 is about 355.9690997826. The cubic root of 126714 is about 50.2274966688.

The spelling of 126714 in words is "one hundred twenty-six thousand, seven hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 431 862 1293 2586 3017 6034 9051 18102 21119 42238 63357 126714