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42405020 = 2257499607
BaseRepresentation
bin1010000111000…
…0110010011100
32221210101202022
42201300302130
541323430040
64112515312
71023302540
oct241606234
987711668
1042405020
1121a33579
121224bb38
138a29438
1458bba20
153ac96b5
hex2870c9c

42405020 has 48 divisors (see below), whose sum is σ = 102144000. Its totient is φ = 14485824.

The previous prime is 42404983. The next prime is 42405023. The reversal of 42405020 is 2050424.

It is a self number, because there is not a number n which added to its sum of digits gives 42405020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42405023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69557 + ... + 70163.

It is an arithmetic number, because the mean of its divisors is an integer number (2128000).

Almost surely, 242405020 is an apocalyptic number.

It is an amenable number.

42405020 is an abundant number, since it is smaller than the sum of its proper divisors (59738980).

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

42405020 is a wasteful number, since it uses less digits than its factorization.

42405020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 42405020 is about 6511.9136972168. The cubic root of 42405020 is about 348.7164414038.

Adding to 42405020 its reverse (2050424), we get a palindrome (44455444).

The spelling of 42405020 in words is "forty-two million, four hundred five thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 499 607 998 1214 1996 2428 2495 3035 3493 4249 4990 6070 6986 8498 9980 12140 13972 16996 17465 21245 34930 42490 69860 84980 302893 605786 1211572 1514465 2120251 3028930 4240502 6057860 8481004 10601255 21202510 42405020