Search a number
-
+
542007153 = 3367299617
BaseRepresentation
bin100000010011100…
…101111101110001
31101202212211001000
4200103211331301
52102223212103
6125441032213
716300661532
oct4023457561
91352784030
10542007153
11258a48aa6
12131625669
13883a23bc
1451dac689
15328b4aa3
hex204e5f71

542007153 has 16 divisors (see below), whose sum is σ = 814960960. Its totient is φ = 355943808.

The previous prime is 542007139. The next prime is 542007157. The reversal of 542007153 is 351700245.

It is a happy number.

542007153 is a `hidden beast` number, since 542 + 0 + 0 + 71 + 53 = 666.

542007153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 542007153 - 212 = 542003057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (542007157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148000 + ... + 151617.

It is an arithmetic number, because the mean of its divisors is an integer number (50935060).

Almost surely, 2542007153 is an apocalyptic number.

It is an amenable number.

542007153 is a deficient number, since it is larger than the sum of its proper divisors (272953807).

542007153 is a wasteful number, since it uses less digits than its factorization.

542007153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299693 (or 299687 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 542007153 is about 23281.0470769680. The cubic root of 542007153 is about 815.3329729552.

Adding to 542007153 its reverse (351700245), we get a palindrome (893707398).

The spelling of 542007153 in words is "five hundred forty-two million, seven thousand, one hundred fifty-three".

Divisors: 1 3 9 27 67 201 603 1809 299617 898851 2696553 8089659 20074339 60223017 180669051 542007153