Search a number
-
+
10042431 = 371925169
BaseRepresentation
bin100110010011…
…110000111111
3200220012121220
4212103300333
510032324211
6555124423
7151234140
oct46236077
920805556
1010042431
11573a033
123443713
132107c89
141495ac7
15d35806
hex993c3f

10042431 has 16 divisors (see below), whose sum is σ = 16108800. Its totient is φ = 5436288.

The previous prime is 10042411. The next prime is 10042433. The reversal of 10042431 is 13424001.

It is not a de Polignac number, because 10042431 - 25 = 10042399 is a prime.

It is a super-2 number, since 2×100424312 = 201700840779522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10042431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12186 + ... + 12983.

It is an arithmetic number, because the mean of its divisors is an integer number (1006800).

Almost surely, 210042431 is an apocalyptic number.

10042431 is a deficient number, since it is larger than the sum of its proper divisors (6066369).

10042431 is a wasteful number, since it uses less digits than its factorization.

10042431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25198.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 10042431 is about 3168.9794887313. The cubic root of 10042431 is about 215.7477550971.

Adding to 10042431 its reverse (13424001), we get a palindrome (23466432).

The spelling of 10042431 in words is "ten million, forty-two thousand, four hundred thirty-one".

Divisors: 1 3 7 19 21 57 133 399 25169 75507 176183 478211 528549 1434633 3347477 10042431