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42213420 = 2233578173
BaseRepresentation
bin1010000100001…
…0000000101100
32221102122221000
42201002000230
541301312140
64104440300
71021544124
oct241020054
987378830
1042213420
1121912627
1212179090
138990172
14586bc84
153a8ca30
hex284202c

42213420 has 48 divisors (see below), whose sum is σ = 131332320. Its totient is φ = 11256768.

The previous prime is 42213419. The next prime is 42213449. The reversal of 42213420 is 2431224.

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 = 42213393 and 42213402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38547 + ... + 39626.

It is an arithmetic number, because the mean of its divisors is an integer number (2736090).

Almost surely, 242213420 is an apocalyptic number.

It is an amenable number.

42213420 is an abundant number, since it is smaller than the sum of its proper divisors (89118900).

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

42213420 is a wasteful number, since it uses less digits than its factorization.

42213420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78191 (or 78183 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42213420 is about 6497.1855445262. The cubic root of 42213420 is about 348.1904427292.

Adding to 42213420 its reverse (2431224), we get a palindrome (44644644).

The spelling of 42213420 in words is "forty-two million, two hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 78173 156346 234519 312692 390865 469038 703557 781730 938076 1172595 1407114 1563460 2110671 2345190 2814228 3517785 4221342 4690380 7035570 8442684 10553355 14071140 21106710 42213420