Search a number
-
+
540426128 = 24113478849
BaseRepresentation
bin100000001101100…
…011111110010000
31101122220111021112
4200031203332100
52101322114003
6125343112452
716251355244
oct4015437620
91348814245
10540426128
11258069170
12130ba2728
1387c6a898
1451aba424
15326a13d8
hex20363f90

540426128 has 40 divisors (see below), whose sum is σ = 1145685600. Its totient is φ = 244912640.

The previous prime is 540426127. The next prime is 540426137. The reversal of 540426128 is 821624045.

It is a junction number, because it is equal to n+sod(n) for n = 540426094 and 540426103.

It is not an unprimeable number, because it can be changed into a prime (540426127) 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 7 ways as a sum of consecutive naturals, for example, 56648 + ... + 65496.

It is an arithmetic number, because the mean of its divisors is an integer number (28642140).

Almost surely, 2540426128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540426128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572842800).

540426128 is an abundant number, since it is smaller than the sum of its proper divisors (605259472).

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

540426128 is a wasteful number, since it uses less digits than its factorization.

540426128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9215 (or 9209 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 540426128 is about 23247.0670838280. The cubic root of 540426128 is about 814.5394303906.

The spelling of 540426128 in words is "five hundred forty million, four hundred twenty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 176 347 694 1388 2776 3817 5552 7634 8849 15268 17698 30536 35396 61072 70792 97339 141584 194678 389356 778712 1557424 3070603 6141206 12282412 24564824 33776633 49129648 67553266 135106532 270213064 540426128