Search a number
-
+
10042840 = 235251071
BaseRepresentation
bin100110010011…
…110111011000
3200220020012001
4212103313120
510032332330
6555130344
7151235263
oct46236730
920806161
1010042840
11573a375
1234439b4
132108212
141495cda
15d359ca
hex993dd8

10042840 has 16 divisors (see below), whose sum is σ = 22596480. Its totient is φ = 4017120.

The previous prime is 10042817. The next prime is 10042841. The reversal of 10042840 is 4824001.

10042840 is nontrivially palindromic in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 125496 + ... + 125575.

It is an arithmetic number, because the mean of its divisors is an integer number (1412280).

Almost surely, 210042840 is an apocalyptic number.

10042840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042840 is an abundant number, since it is smaller than the sum of its proper divisors (12553640).

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

10042840 is a wasteful number, since it uses less digits than its factorization.

10042840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251082 (or 251078 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 10042840 is about 3169.0440198899. The cubic root of 10042840 is about 215.7506839907.

Adding to 10042840 its reverse (4824001), we get a palindrome (14866841).

It can be divided in two parts, 1004 and 2840, that added together give a square (3844 = 622).

The spelling of 10042840 in words is "ten million, forty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 251071 502142 1004284 1255355 2008568 2510710 5021420 10042840