Search a number
-
+
554142960 = 2432572113139
BaseRepresentation
bin100001000001111…
…000110011110000
31102121201101020100
4201001320303300
52113330033320
6130553112400
716506065100
oct4101706360
91377641210
10554142960
11264887898
121356b8700
138aa61157
145384b200
15339b0790
hex21078cf0

554142960 has 360 divisors, whose sum is σ = 2199702960. Its totient is φ = 124637184.

The previous prime is 554142947. The next prime is 554143039. The reversal of 554142960 is 69241455.

554142960 is a `hidden beast` number, since 554 + 1 + 42 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3986571 + ... + 3986709.

It is an arithmetic number, because the mean of its divisors is an integer number (6110286).

Almost surely, 2554142960 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 554142960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099851480).

554142960 is an abundant number, since it is smaller than the sum of its proper divisors (1645560000).

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

554142960 is a wasteful number, since it uses less digits than its factorization.

554142960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 269 counting only the distinct ones).

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

The square root of 554142960 is about 23540.2412901822. The cubic root of 554142960 is about 821.3733480275.

The spelling of 554142960 in words is "five hundred fifty-four million, one hundred forty-two thousand, nine hundred sixty".