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542342020 = 225117134721
BaseRepresentation
bin100000010100110…
…111101110000100
31101210111211101111
4200110313232010
52102314421040
6125452134404
716303555033
oct4024675604
91353454344
10542342020
11259157650
12131767404
138848b94c
145205871a
153292ddea
hex20537b84

542342020 has 48 divisors (see below), whose sum is σ = 1259991936. Its totient is φ = 194432000.

The previous prime is 542341937. The next prime is 542342069. The reversal of 542342020 is 20243245.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 542341982 and 542342000.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1741 + ... + 32980.

It is an arithmetic number, because the mean of its divisors is an integer number (26249832).

Almost surely, 2542342020 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 542342020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629995968).

542342020 is an abundant number, since it is smaller than the sum of its proper divisors (717649916).

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

542342020 is a wasteful number, since it uses less digits than its factorization.

542342020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34812 (or 34810 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 542342020 is about 23288.2378036639. The cubic root of 542342020 is about 815.5008501356.

Adding to 542342020 its reverse (20243245), we get a palindrome (562585265).

The spelling of 542342020 in words is "five hundred forty-two million, three hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 284 355 710 781 1420 1562 3124 3905 7810 15620 34721 69442 138884 173605 347210 381931 694420 763862 1527724 1909655 2465191 3819310 4930382 7638620 9860764 12325955 24651910 27117101 49303820 54234202 108468404 135585505 271171010 542342020