Search a number
-
+
54600320 = 27585313
BaseRepresentation
bin1101000001001…
…0001010000000
310210201222120002
43100102022000
5102434202240
65230135132
71232044415
oct320221200
9123658502
1054600320
1128903035
12163514a8
13b4092a8
14737410c
154bd7d15
hex3412280

54600320 has 32 divisors (see below), whose sum is σ = 130530420. Its totient is φ = 21839872.

The previous prime is 54600317. The next prime is 54600341. The reversal of 54600320 is 2300645.

It can be written as a sum of positive squares in 2 ways, for example, as 49900096 + 4700224 = 7064^2 + 2168^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 54600292 and 54600301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42017 + ... + 43296.

Almost surely, 254600320 is an apocalyptic number.

It is an amenable number.

54600320 is an abundant number, since it is smaller than the sum of its proper divisors (75930100).

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

54600320 is an equidigital number, since it uses as much as digits as its factorization.

54600320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85332 (or 85320 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 54600320 is about 7389.2029340112. The cubic root of 54600320 is about 379.3718152946.

Adding to 54600320 its reverse (2300645), we get a palindrome (56900965).

The spelling of 54600320 in words is "fifty-four million, six hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 85313 170626 341252 426565 682504 853130 1365008 1706260 2730016 3412520 5460032 6825040 10920064 13650080 27300160 54600320