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6426 = 233717
BaseRepresentation
bin1100100011010
322211000
41210122
5201201
645430
724510
oct14432
98730
106426
114912
123876
132c04
1424b0
151d86
hex191a

6426 has 32 divisors (see below), whose sum is σ = 17280. Its totient is φ = 1728.

The previous prime is 6421. The next prime is 6427. The reversal of 6426 is 6246.

It can be divided in two parts, 6 and 426, that multiplied together give a triangular number (2556 = T71).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 6399 and 6408.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 6426.

It is not an unprimeable number, because it can be changed into a prime (6421) 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, 370 + ... + 386.

It is an arithmetic number, because the mean of its divisors is an integer number (540).

26426 is an apocalyptic number.

6426 is the 51-st heptagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8640).

6426 is an abundant number, since it is smaller than the sum of its proper divisors (10854).

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

6426 is a wasteful number, since it uses less digits than its factorization.

6426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 29 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 6426 is about 80.1623352953. The cubic root of 6426 is about 18.5914633042.

The spelling of 6426 in words is "six thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 306 357 378 459 714 918 1071 2142 3213 6426