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10053126 = 233832243
BaseRepresentation
bin100110010110…
…011000000110
3200220202022000
4212112120012
510033200001
6555250130
7151310256
oct46263006
920822260
1010053126
115747076
123449946
13210cac5
141499966
15d38a86
hex996606

10053126 has 32 divisors (see below), whose sum is σ = 22619520. Its totient is φ = 3309192.

The previous prime is 10053101. The next prime is 10053143. The reversal of 10053126 is 62135001.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10053099 and 10053108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3361 + ... + 5603.

It is an arithmetic number, because the mean of its divisors is an integer number (706860).

Almost surely, 210053126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10053126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11309760).

10053126 is an abundant number, since it is smaller than the sum of its proper divisors (12566394).

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

10053126 is a wasteful number, since it uses less digits than its factorization.

10053126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 10053126 is about 3170.6664914494. Note that the first 3 decimals coincide. The cubic root of 10053126 is about 215.8243170240.

Adding to 10053126 its reverse (62135001), we get a palindrome (72188127).

The spelling of 10053126 in words is "ten million, fifty-three thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 83 166 249 498 747 1494 2241 2243 4482 4486 6729 13458 20187 40374 60561 121122 186169 372338 558507 1117014 1675521 3351042 5026563 10053126