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10523142 = 233724197
BaseRepresentation
bin101000001001…
…001000000110
3201210122001000
4220021020012
510143220032
61013314130
7155305500
oct50111006
921718030
1010523142
115a38213
123635946
132245a16
14157cd70
15dcce7c
hexa09206

10523142 has 96 divisors (see below), whose sum is σ = 28153440. Its totient is φ = 2903040.

The previous prime is 10523141. The next prime is 10523173. The reversal of 10523142 is 24132501.

10523142 is a `hidden beast` number, since 1 + 0 + 523 + 142 = 666.

It is a super-2 number, since 2×105231422 = 221473035104328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10523141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108438 + ... + 108534.

It is an arithmetic number, because the mean of its divisors is an integer number (293265).

Almost surely, 210523142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10523142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14076720).

10523142 is an abundant number, since it is smaller than the sum of its proper divisors (17630298).

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

10523142 is a wasteful number, since it uses less digits than its factorization.

10523142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10523142 is about 3243.9392719347. The cubic root of 10523142 is about 219.1367132863.

Adding to 10523142 its reverse (24132501), we get a palindrome (34655643).

It can be divided in two parts, 105 and 23142, that multiplied together give a triangular number (2429910 = T2204).

The spelling of 10523142 in words is "ten million, five hundred twenty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 41 42 49 54 63 82 97 98 123 126 147 189 194 246 287 291 294 369 378 441 574 582 679 738 861 873 882 1107 1323 1358 1722 1746 2009 2037 2214 2583 2619 2646 3977 4018 4074 4753 5166 5238 6027 6111 7749 7954 9506 11931 12054 12222 14259 15498 18081 18333 23862 27839 28518 35793 36162 36666 42777 54243 55678 71586 83517 85554 107379 108486 128331 167034 194873 214758 250551 256662 389746 501102 584619 751653 1169238 1503306 1753857 3507714 5261571 10523142