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10209052 = 22741063
BaseRepresentation
bin100110111100…
…011100011100
3201012200012001
4212330130130
510103142202
61002452044
7152530000
oct46743434
921180161
1010209052
115843237
123504024
132165a79
1414da700
15d69d87
hex9bc71c

10209052 has 30 divisors (see below), whose sum is σ = 20861848. Its totient is φ = 4371192.

The previous prime is 10209047. The next prime is 10209053. The reversal of 10209052 is 25090201.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10209053) 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 9 ways as a sum of consecutive naturals, for example, 9073 + ... + 10135.

Almost surely, 210209052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10209052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10430924).

10209052 is an abundant number, since it is smaller than the sum of its proper divisors (10652796).

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

10209052 is an equidigital number, since it uses as much as digits as its factorization.

10209052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 10209052 is about 3195.1607158326. The cubic root of 10209052 is about 216.9344234733.

Adding to 10209052 its reverse (25090201), we get a palindrome (35299253).

The spelling of 10209052 in words is "ten million, two hundred nine thousand, fifty-two".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 1063 1372 2126 2401 4252 4802 7441 9604 14882 29764 52087 104174 208348 364609 729218 1458436 2552263 5104526 10209052