Search a number
-
+
54123104 = 2571761233
BaseRepresentation
bin1100111001110…
…1101001100000
310202211201221102
43032131221200
5102323414404
65212013532
71225016210
oct316355140
9122751842
1054123104
1128607542
12161612a8
13b2a0009
14728c240
154b4171e
hex339da60

54123104 has 96 divisors (see below), whose sum is σ = 131616576. Its totient is φ = 21381120.

The previous prime is 54123103. The next prime is 54123109. The reversal of 54123104 is 40132145.

54123104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54123103) 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 15 ways as a sum of consecutive naturals, for example, 232172 + ... + 232404.

It is an arithmetic number, because the mean of its divisors is an integer number (1371006).

Almost surely, 254123104 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 54123104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65808288).

54123104 is an abundant number, since it is smaller than the sum of its proper divisors (77493472).

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

54123104 is a wasteful number, since it uses less digits than its factorization.

54123104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 54123104 is about 7356.8406262471. The cubic root of 54123104 is about 378.2633216505.

Adding to 54123104 its reverse (40132145), we get a palindrome (94255249).

The spelling of 54123104 in words is "fifty-four million, one hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 61 68 112 119 122 136 224 233 238 244 272 427 466 476 488 544 854 932 952 976 1037 1631 1708 1864 1904 1952 2074 3262 3416 3728 3808 3961 4148 6524 6832 7259 7456 7922 8296 13048 13664 14213 14518 15844 16592 26096 27727 28426 29036 31688 33184 52192 55454 56852 58072 63376 99491 110908 113704 116144 126752 198982 221816 227408 232288 241621 397964 443632 454816 483242 795928 887264 966484 1591856 1691347 1932968 3183712 3382694 3865936 6765388 7731872 13530776 27061552 54123104