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10442420 = 2251730713
BaseRepresentation
bin100111110101…
…011010110100
3201122112022022
4213311122310
510133124140
61011452312
7154521242
oct47653264
921575268
1010442420
1159925aa
1235b7098
132218061
14155b792
15db40b5
hex9f56b4

10442420 has 24 divisors (see below), whose sum is σ = 23219784. Its totient is φ = 3931136.

The previous prime is 10442401. The next prime is 10442461. The reversal of 10442420 is 2424401.

It can be written as a sum of positive squares in 4 ways, for example, as 4351396 + 6091024 = 2086^2 + 2468^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15017 + ... + 15696.

It is an arithmetic number, because the mean of its divisors is an integer number (967491).

Almost surely, 210442420 is an apocalyptic number.

10442420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10442420 is an abundant number, since it is smaller than the sum of its proper divisors (12777364).

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

10442420 is a wasteful number, since it uses less digits than its factorization.

10442420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30739 (or 30737 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 10442420 is about 3231.4733481804. The cubic root of 10442420 is about 218.5749489352.

Adding to 10442420 its reverse (2424401), we get a palindrome (12866821).

It can be divided in two parts, 104 and 42420, that added together give a palindrome (42524).

The spelling of 10442420 in words is "ten million, four hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 30713 61426 122852 153565 307130 522121 614260 1044242 2088484 2610605 5221210 10442420