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42314420 = 2252115721
BaseRepresentation
bin1010000101101…
…0101010110100
32221121210110202
42201122222310
541313030140
64110540032
71022444441
oct241325264
987553422
1042314420
11219814a5
1212207618
1389c7125
1458969c8
153aac915
hex285aab4

42314420 has 12 divisors (see below), whose sum is σ = 88860324. Its totient is φ = 16925760.

The previous prime is 42314417. The next prime is 42314471. The reversal of 42314420 is 2441324.

It can be written as a sum of positive squares in 2 ways, for example, as 16467364 + 25847056 = 4058^2 + 5084^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 2115721 = 42314420 / (4 + 2 + 3 + 1 + 4 + 4 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 42314392 and 42314401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1057841 + ... + 1057880.

It is an arithmetic number, because the mean of its divisors is an integer number (7405027).

Almost surely, 242314420 is an apocalyptic number.

It is an amenable number.

42314420 is an abundant number, since it is smaller than the sum of its proper divisors (46545904).

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

42314420 is a wasteful number, since it uses less digits than its factorization.

42314420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115730 (or 2115728 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 42314420 is about 6504.9534971435. The cubic root of 42314420 is about 348.4679155080.

Adding to 42314420 its reverse (2441324), we get a palindrome (44755744).

The spelling of 42314420 in words is "forty-two million, three hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 2115721 4231442 8462884 10578605 21157210 42314420