Search a number
-
+
54182130 = 23513713183
BaseRepresentation
bin1100111010110…
…0000011110010
310202221201220120
43032230003302
5102332312010
65213151110
71225353252
oct316540362
9122851816
1054182130
1128647922
121618b496
13b2c0b42
1472a5962
154b53e70
hex33ac0f2

54182130 has 32 divisors (see below), whose sum is σ = 130996224. Its totient is φ = 14342016.

The previous prime is 54182101. The next prime is 54182131. The reversal of 54182130 is 3128145.

54182130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×541821302 = 5871406422673800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 54182130.

It is not an unprimeable number, because it can be changed into a prime (54182131) 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, 2482 + ... + 10701.

It is an arithmetic number, because the mean of its divisors is an integer number (4093632).

Almost surely, 254182130 is an apocalyptic number.

54182130 is an abundant number, since it is smaller than the sum of its proper divisors (76814094).

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

54182130 is a wasteful number, since it uses less digits than its factorization.

54182130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13330.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 54182130 is about 7360.8511736076. The cubic root of 54182130 is about 378.4007814870.

The spelling of 54182130 in words is "fifty-four million, one hundred eighty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 137 274 411 685 822 1370 2055 4110 13183 26366 39549 65915 79098 131830 197745 395490 1806071 3612142 5418213 9030355 10836426 18060710 27091065 54182130