Search a number
-
+
42231420 = 223257112277
BaseRepresentation
bin1010000100011…
…0011001111100
32221110120121200
42201012121330
541302401140
64105055500
71021650450
oct241063174
987416550
1042231420
1121925100
1212187590
13899840a
145874660
153a93030
hex284667c

42231420 has 216 divisors, whose sum is σ = 161502432. Its totient is φ = 8743680.

The previous prime is 42231403. The next prime is 42231491. The reversal of 42231420 is 2413224.

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 = 42231393 and 42231402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 152322 + ... + 152598.

Almost surely, 242231420 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 42231420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80751216).

42231420 is an abundant number, since it is smaller than the sum of its proper divisors (119271012).

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

42231420 is a wasteful number, since it uses less digits than its factorization.

42231420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 305 counting only the distinct ones).

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

The square root of 42231420 is about 6498.5706120654. The cubic root of 42231420 is about 348.2399257085.

Adding to 42231420 its reverse (2413224), we get a palindrome (44644644).

The spelling of 42231420 in words is "forty-two million, two hundred thirty-one thousand, four hundred twenty".