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542031120 = 24325752821
BaseRepresentation
bin100000010011101…
…011110100010000
31101202221000220200
4200103223310100
52102224443440
6125441335200
716301121441
oct4023536420
91352830820
10542031120
11258a65004
12131637500
13883b0297
1451db72c8
15328bbc30
hex204ebd10

542031120 has 60 divisors (see below), whose sum is σ = 1820323596. Its totient is φ = 144541440.

The previous prime is 542031101. The next prime is 542031121. The reversal of 542031120 is 21130245.

542031120 is a `hidden beast` number, since 542 + 0 + 3 + 1 + 120 = 666.

542031120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 246741264 + 295289856 = 15708^2 + 17184^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 542031093 and 542031102.

It is not an unprimeable number, because it can be changed into a prime (542031121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 375691 + ... + 377130.

Almost surely, 2542031120 is an apocalyptic number.

It is an amenable number.

542031120 is an abundant number, since it is smaller than the sum of its proper divisors (1278292476).

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

542031120 is a wasteful number, since it uses less digits than its factorization.

542031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752840 (or 752831 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 542031120 is about 23281.5618032812. The cubic root of 542031120 is about 815.3449905071.

Adding to 542031120 its reverse (21130245), we get a palindrome (563161365).

The spelling of 542031120 in words is "five hundred forty-two million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 752821 1505642 2258463 3011284 3764105 4516926 6022568 6775389 7528210 9033852 11292315 12045136 13550778 15056420 18067704 22584630 27101556 30112840 33876945 36135408 45169260 54203112 60225680 67753890 90338520 108406224 135507780 180677040 271015560 542031120