Search a number
-
+
54116118 = 23273071399
BaseRepresentation
bin1100111001101…
…1111100010110
310202211101100200
43032123330112
5102323203433
65211521330
71224656640
oct316337426
9122741320
1054116118
1128602271
1216159246
13b299a94
147289890
154b3e613
hex339bf16

54116118 has 48 divisors (see below), whose sum is σ = 134534400. Its totient is φ = 15400368.

The previous prime is 54116113. The next prime is 54116131. The reversal of 54116118 is 81161145.

54116118 is a `hidden beast` number, since 5 + 41 + 1 + 611 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 54116091 and 54116100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54116113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37983 + ... + 39381.

It is an arithmetic number, because the mean of its divisors is an integer number (2802800).

Almost surely, 254116118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54116118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67267200).

54116118 is an abundant number, since it is smaller than the sum of its proper divisors (80418282).

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

54116118 is a wasteful number, since it uses less digits than its factorization.

54116118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1721 (or 1718 counting only the distinct ones).

The product of its digits is 960, while the sum is 27.

The square root of 54116118 is about 7356.3658147213. The cubic root of 54116118 is about 378.2470460302.

The spelling of 54116118 in words is "fifty-four million, one hundred sixteen thousand, one hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 307 614 921 1399 1842 2149 2763 2798 4197 4298 5526 6447 8394 9793 12591 12894 19341 19586 25182 29379 38682 58758 88137 176274 429493 858986 1288479 2576958 3006451 3865437 6012902 7730874 9019353 18038706 27058059 54116118