Search a number
-
+
540426672 = 243231711839
BaseRepresentation
bin100000001101100…
…100000110110000
31101122220112000200
4200031210012300
52101322123142
6125343115200
716251356652
oct4015440660
91348815020
10540426672
11258069615
12130ba2b00
1387c6abc6
1451aba6d2
15326a164c
hex203641b0

540426672 has 60 divisors (see below), whose sum is σ = 1517343360. Its totient is φ = 179558784.

The previous prime is 540426647. The next prime is 540426703. The reversal of 540426672 is 276624045.

540426672 is a `hidden beast` number, since 540 + 42 + 6 + 6 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39729 + ... + 51567.

It is an arithmetic number, because the mean of its divisors is an integer number (25289056).

Almost surely, 2540426672 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 540426672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758671680).

540426672 is an abundant number, since it is smaller than the sum of its proper divisors (976916688).

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

540426672 is a wasteful number, since it uses less digits than its factorization.

540426672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12170 (or 12161 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 540426672 is about 23247.0787842258. The cubic root of 540426672 is about 814.5397036992.

The spelling of 540426672 in words is "five hundred forty million, four hundred twenty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 317 634 951 1268 1902 2536 2853 3804 5072 5706 7608 11412 11839 15216 22824 23678 35517 45648 47356 71034 94712 106551 142068 189424 213102 284136 426204 568272 852408 1704816 3752963 7505926 11258889 15011852 22517778 30023704 33776667 45035556 60047408 67553334 90071112 135106668 180142224 270213336 540426672