Search a number
-
+
53911120 = 2453132153
BaseRepresentation
bin1100110110100…
…1111001010000
310202102222011011
43031221321100
5102300123440
65203300304
71223144164
oct315517120
9122388134
1053911120
112848224a
121607a694
13b227693
147234ca4
154aed9ea
hex3369e50

53911120 has 40 divisors (see below), whose sum is σ = 125802216. Its totient is φ = 21485568.

The previous prime is 53911111. The next prime is 53911141. The reversal of 53911120 is 2111935.

53911120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4293184 + 49617936 = 2072^2 + 7044^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 53911091 and 53911100.

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 7 ways as a sum of consecutive naturals, for example, 23964 + ... + 26116.

Almost surely, 253911120 is an apocalyptic number.

It is an amenable number.

53911120 is an abundant number, since it is smaller than the sum of its proper divisors (71891096).

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

53911120 is a wasteful number, since it uses less digits than its factorization.

53911120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479 (or 2473 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 22.

The square root of 53911120 is about 7342.4192198485. The cubic root of 53911120 is about 377.7688274183.

The spelling of 53911120 in words is "fifty-three million, nine hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 313 626 1252 1565 2153 2504 3130 4306 5008 6260 8612 10765 12520 17224 21530 25040 34448 43060 86120 172240 673889 1347778 2695556 3369445 5391112 6738890 10782224 13477780 26955560 53911120