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42214320 = 2432558631
BaseRepresentation
bin1010000100001…
…0001110110000
32221102201011100
42201002032300
541301324240
64104444400
71021546551
oct241021660
987381140
1042214320
1121913275
1212179700
1389906b5
14586c328
153a8ce30
hex28423b0

42214320 has 60 divisors (see below), whose sum is σ = 141772176. Its totient is φ = 11256960.

The previous prime is 42214307. The next prime is 42214321. The reversal of 42214320 is 2341224.

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 = 42214293 and 42214302.

It is not an unprimeable number, because it can be changed into a prime (42214321) 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, 28596 + ... + 30035.

Almost surely, 242214320 is an apocalyptic number.

42214320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42214320 is an abundant number, since it is smaller than the sum of its proper divisors (99557856).

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

42214320 is a wasteful number, since it uses less digits than its factorization.

42214320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58650 (or 58641 counting only the distinct ones).

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

The square root of 42214320 is about 6497.2548049157. The cubic root of 42214320 is about 348.1929172123.

Adding to 42214320 its reverse (2341224), we get a palindrome (44555544).

The spelling of 42214320 in words is "forty-two million, two hundred fourteen thousand, three 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 58631 117262 175893 234524 293155 351786 469048 527679 586310 703572 879465 938096 1055358 1172620 1407144 1758930 2110716 2345240 2638395 2814288 3517860 4221432 4690480 5276790 7035720 8442864 10553580 14071440 21107160 42214320