Search a number
-
+
541270116 = 2232131911399
BaseRepresentation
bin100000010000110…
…010000001100100
31101201111101000100
4200100302001210
52102031120431
6125413144100
716261501662
oct4020620144
91351441010
10541270116
11258595282
1213132b030
13881a4a9a
1451c59c32
15327bb4e6
hex20432064

541270116 has 36 divisors (see below), whose sum is σ = 1369368000. Its totient is φ = 180270768.

The previous prime is 541270097. The next prime is 541270187. The reversal of 541270116 is 611072145.

It is a happy number.

541270116 is a `hidden beast` number, since 541 + 2 + 7 + 0 + 116 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 541270116.

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, 41785 + ... + 53183.

It is an arithmetic number, because the mean of its divisors is an integer number (38038000).

Almost surely, 2541270116 is an apocalyptic number.

It is an amenable number.

541270116 is an abundant number, since it is smaller than the sum of its proper divisors (828097884).

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

541270116 is a wasteful number, since it uses less digits than its factorization.

541270116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12728 (or 12723 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 541270116 is about 23265.2125715627. The cubic root of 541270116 is about 814.9632341928.

The spelling of 541270116 in words is "five hundred forty-one million, two hundred seventy thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 1319 2638 3957 5276 7914 11399 11871 15828 22798 23742 34197 45596 47484 68394 102591 136788 205182 410364 15035281 30070562 45105843 60141124 90211686 135317529 180423372 270635058 541270116