Search a number
-
+
55342980 = 223357114
BaseRepresentation
bin1101001100011…
…1011110000100
310212010201022000
43103013132010
5103131433410
65254105300
71241256540
oct323073604
9125121260
1055342980
1129270000
121664b230
13b609334
1474c8a20
154cd2dc0
hex34c7784

55342980 has 240 divisors, whose sum is σ = 216451200. Its totient is φ = 11499840.

The previous prime is 55342961. The next prime is 55342981. The reversal of 55342980 is 8924355.

55342980 is a `hidden beast` number, since 553 + 4 + 29 + 80 = 666.

55342980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (55342981) 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 79 ways as a sum of consecutive naturals, for example, 5031175 + ... + 5031185.

It is an arithmetic number, because the mean of its divisors is an integer number (901880).

Almost surely, 255342980 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 55342980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108225600).

55342980 is an abundant number, since it is smaller than the sum of its proper divisors (161108220).

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

55342980 is a wasteful number, since it uses less digits than its factorization.

55342980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 55342980 is about 7439.2862560867. The cubic root of 55342980 is about 381.0841155962.

The spelling of 55342980 in words is "fifty-five million, three hundred forty-two thousand, nine hundred eighty".