Search a number
-
+
42510420 = 223558747
BaseRepresentation
bin1010001000101…
…0100001010100
32221222202100000
42202022201110
541340313140
64115051300
71024222041
oct242124124
987882300
1042510420
1121aa5787
12122a0b30
138a653c4
1459081c8
153aeaa30
hex288a854

42510420 has 72 divisors (see below), whose sum is σ = 133739424. Its totient is φ = 11334816.

The previous prime is 42510409. The next prime is 42510427. The reversal of 42510420 is 2401524.

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 = 42510393 and 42510402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42510427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 487 + ... + 9233.

It is an arithmetic number, because the mean of its divisors is an integer number (1857492).

Almost surely, 242510420 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 42510420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66869712).

42510420 is an abundant number, since it is smaller than the sum of its proper divisors (91229004).

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

42510420 is a wasteful number, since it uses less digits than its factorization.

42510420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8771 (or 8757 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 42510420 is about 6520.0015337422. The cubic root of 42510420 is about 349.0051202988.

Adding to 42510420 its reverse (2401524), we get a palindrome (44911944).

The spelling of 42510420 in words is "forty-two million, five hundred ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 8747 17494 26241 34988 43735 52482 78723 87470 104964 131205 157446 174940 236169 262410 314892 393615 472338 524820 708507 787230 944676 1180845 1417014 1574460 2125521 2361690 2834028 3542535 4251042 4723380 7085070 8502084 10627605 14170140 21255210 42510420