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10010142 = 23543479
BaseRepresentation
bin100110001011…
…111000011110
3200211120100000
4212023320132
510030311032
6554315130
7151041042
oct46137036
920746300
1010010142
11571784a
123428aa6
1320c637c
141488022
15d2ae7c
hex98be1e

10010142 has 48 divisors (see below), whose sum is σ = 23063040. Its totient is φ = 3252312.

The previous prime is 10010141. The next prime is 10010153. The reversal of 10010142 is 24101001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010141) 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 23 ways as a sum of consecutive naturals, for example, 20659 + ... + 21137.

It is an arithmetic number, because the mean of its divisors is an integer number (480480).

Almost surely, 210010142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11531520).

10010142 is an abundant number, since it is smaller than the sum of its proper divisors (13052898).

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

10010142 is an equidigital number, since it uses as much as digits as its factorization.

10010142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 10010142 is about 3163.8808447854. The cubic root of 10010142 is about 215.5162786496.

Adding to 10010142 its reverse (24101001), we get a palindrome (34111143).

The spelling of 10010142 in words is "ten million, ten thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 162 243 258 387 479 486 774 958 1161 1437 2322 2874 3483 4311 6966 8622 10449 12933 20597 20898 25866 38799 41194 61791 77598 116397 123582 185373 232794 370746 556119 1112238 1668357 3336714 5005071 10010142