Search a number
-
+
405336126 = 231326319759
BaseRepresentation
bin11000001010001…
…111000000111110
31001020201012122010
4120022033000332
51312231224001
6104115432050
713021204656
oct3012170076
91036635563
10405336126
11198890038
12b38b5626
1365c8c380
143bb93366
15258b98d6
hex1828f03e

405336126 has 32 divisors (see below), whose sum is σ = 876395520. Its totient is φ = 124238304.

The previous prime is 405336119. The next prime is 405336143. The reversal of 405336126 is 621633504.

It is a junction number, because it is equal to n+sod(n) for n = 405336093 and 405336102.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10635 + ... + 30393.

It is an arithmetic number, because the mean of its divisors is an integer number (27387360).

Almost surely, 2405336126 is an apocalyptic number.

405336126 is an abundant number, since it is smaller than the sum of its proper divisors (471059394).

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

405336126 is a wasteful number, since it uses less digits than its factorization.

405336126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20040.

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 405336126 is about 20132.9611830948. The cubic root of 405336126 is about 740.0682466885.

The spelling of 405336126 in words is "four hundred five million, three hundred thirty-six thousand, one hundred twenty-six".

Divisors: 1 2 3 6 13 26 39 78 263 526 789 1578 3419 6838 10257 19759 20514 39518 59277 118554 256867 513734 770601 1541202 5196617 10393234 15589851 31179702 67556021 135112042 202668063 405336126