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542046120 = 233571125333
BaseRepresentation
bin100000010011101…
…111011110101000
31101202221210111020
4200103233132220
52102230433440
6125441532440
716301213250
oct4023573650
91352853436
10542046120
11258a75300
12131644120
13883b7065
1451dbc960
15328c13d0
hex204ef7a8

542046120 has 192 divisors, whose sum is σ = 2043135360. Its totient is φ = 112611840.

The previous prime is 542046119. The next prime is 542046133. The reversal of 542046120 is 21640245.

542046120 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 (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98974 + ... + 104306.

It is an arithmetic number, because the mean of its divisors is an integer number (10641330).

Almost surely, 2542046120 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 542046120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021567680).

542046120 is an abundant number, since it is smaller than the sum of its proper divisors (1501089240).

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

542046120 is a wasteful number, since it uses less digits than its factorization.

542046120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5376 (or 5361 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 542046120 is about 23281.8839443890. The cubic root of 542046120 is about 815.3525116387.

Adding to 542046120 its reverse (21640245), we get a palindrome (563686365).

The spelling of 542046120 in words is "five hundred forty-two million, forty-six thousand, one hundred twenty".