Search a number
-
+
54112680 = 23325831811
BaseRepresentation
bin1100111001101…
…1000110101000
310202211012122100
43032123012220
5102323101210
65211453400
71224643626
oct316330650
9122735570
1054112680
11285aa726
1216157260
13b29834b
147288516
154b3d5c0
hex339b1a8

54112680 has 96 divisors (see below), whose sum is σ = 178083360. Its totient is φ = 14248320.

The previous prime is 54112679. The next prime is 54112693. The reversal of 54112680 is 8621145.

54112680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 28975 + ... + 30785.

It is an arithmetic number, because the mean of its divisors is an integer number (1855035).

Almost surely, 254112680 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 54112680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89041680).

54112680 is an abundant number, since it is smaller than the sum of its proper divisors (123970680).

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

54112680 is a wasteful number, since it uses less digits than its factorization.

54112680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 54112680 is about 7356.1321358442. The cubic root of 54112680 is about 378.2390358419.

The spelling of 54112680 in words is "fifty-four million, one hundred twelve thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 83 90 120 166 180 249 332 360 415 498 664 747 830 996 1245 1494 1660 1811 1992 2490 2988 3320 3622 3735 4980 5433 5976 7244 7470 9055 9960 10866 14488 14940 16299 18110 21732 27165 29880 32598 36220 43464 54330 65196 72440 81495 108660 130392 150313 162990 217320 300626 325980 450939 601252 651960 751565 901878 1202504 1352817 1503130 1803756 2254695 2705634 3006260 3607512 4509390 5411268 6012520 6764085 9018780 10822536 13528170 18037560 27056340 54112680