Search a number
-
+
10042638 = 237921187
BaseRepresentation
bin100110010011…
…110100001110
3200220012220120
4212103310032
510032331023
6555125410
7151234554
oct46236416
920805816
1010042638
11573a201
123443866
1321080b8
141495bd4
15d358e3
hex993d0e

10042638 has 16 divisors (see below), whose sum is σ = 20340480. Its totient is φ = 3305016.

The previous prime is 10042633. The next prime is 10042639. The reversal of 10042638 is 83624001.

It is a happy number.

10042638 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10120 + ... + 11067.

It is an arithmetic number, because the mean of its divisors is an integer number (1271280).

Almost surely, 210042638 is an apocalyptic number.

10042638 is an abundant number, since it is smaller than the sum of its proper divisors (10297842).

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

10042638 is a wasteful number, since it uses less digits than its factorization.

10042638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21271.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 10042638 is about 3169.0121489196. The cubic root of 10042638 is about 215.7492374566.

Adding to 10042638 its reverse (83624001), we get a palindrome (93666639).

The spelling of 10042638 in words is "ten million, forty-two thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 79 158 237 474 21187 42374 63561 127122 1673773 3347546 5021319 10042638