Search a number
-
+
54307000 = 2353114937
BaseRepresentation
bin1100111100101…
…0100010111000
310210012002012101
43033022202320
5102400311000
65215553144
71226413306
oct317124270
9123162171
1054307000
1128722720
121622b7b4
13b335927
1472d9276
154b7ae6a
hex33ca8b8

54307000 has 64 divisors (see below), whose sum is σ = 138659040. Its totient is φ = 19744000.

The previous prime is 54306991. The next prime is 54307031. The reversal of 54307000 is 70345.

54307000 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 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 15 ways as a sum of consecutive naturals, for example, 8532 + ... + 13468.

Almost surely, 254307000 is an apocalyptic number.

54307000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54307000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69329520).

54307000 is an abundant number, since it is smaller than the sum of its proper divisors (84352040).

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

54307000 is a wasteful number, since it uses less digits than its factorization.

54307000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4969 (or 4955 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 54307000 is about 7369.3283276022. The cubic root of 54307000 is about 378.6912502775.

Adding to 54307000 its reverse (70345), we get a palindrome (54377345).

The spelling of 54307000 in words is "fifty-four million, three hundred seven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 4937 5500 9874 11000 19748 24685 39496 49370 54307 98740 108614 123425 197480 217228 246850 271535 434456 493700 543070 617125 987400 1086140 1234250 1357675 2172280 2468500 2715350 4937000 5430700 6788375 10861400 13576750 27153500 54307000