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405426 = 2373197
BaseRepresentation
bin1100010111110110010
3202121010210
41202332302
5100433201
612404550
73306000
oct1427662
9677123
10405426
1125766a
12176756
131126c8
14a7a70
15801d6
hex62fb2

405426 has 32 divisors (see below), whose sum is σ = 950400. Its totient is φ = 115248.

The previous prime is 405413. The next prime is 405437. The reversal of 405426 is 624504.

It is a happy number.

405426 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is an unprimeable number.

405426 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1960 + ... + 2156.

It is an arithmetic number, because the mean of its divisors is an integer number (29700).

2405426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475200).

405426 is an abundant number, since it is smaller than the sum of its proper divisors (544974).

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

405426 is a wasteful number, since it uses less digits than its factorization.

405426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 405426 is about 636.7307123109. The cubic root of 405426 is about 74.0122940373.

405426 divided by its sum of digits (21) gives a triangular number (19306 = T196).

The spelling of 405426 in words is "four hundred five thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 197 294 343 394 591 686 1029 1182 1379 2058 2758 4137 8274 9653 19306 28959 57918 67571 135142 202713 405426