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10500204 = 223111329211
BaseRepresentation
bin101000000011…
…100001101100
3201202110120110
4220003201230
510142001304
61013020020
7155151561
oct50034154
921673513
1010500204
115a21a60
123624610
132238450
141574868
15dc6289
hexa0386c

10500204 has 96 divisors (see below), whose sum is σ = 29917440. Its totient is φ = 2822400.

The previous prime is 10500187. The next prime is 10500229. The reversal of 10500204 is 40200501.

It is a super-2 number, since 2×105002042 = 220508568083232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 10500204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49659 + ... + 49869.

It is an arithmetic number, because the mean of its divisors is an integer number (311640).

Almost surely, 210500204 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 10500204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14958720).

10500204 is an abundant number, since it is smaller than the sum of its proper divisors (19417236).

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

10500204 is a wasteful number, since it uses less digits than its factorization.

10500204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 10500204 is about 3240.4018269344. The cubic root of 10500204 is about 218.9773751152.

Adding to 10500204 its reverse (40200501), we get a palindrome (50700705).

The spelling of 10500204 in words is "ten million, five hundred thousand, two hundred four".

Divisors: 1 2 3 4 6 11 12 13 22 26 29 33 39 44 52 58 66 78 87 116 132 143 156 174 211 286 319 348 377 422 429 572 633 638 754 844 858 957 1131 1266 1276 1508 1716 1914 2262 2321 2532 2743 3828 4147 4524 4642 5486 6119 6963 8229 8294 9284 10972 12238 12441 13926 16458 16588 18357 24476 24882 27852 30173 32916 36714 49764 60346 67309 73428 79547 90519 120692 134618 159094 181038 201927 238641 269236 318188 362076 403854 477282 807708 875017 954564 1750034 2625051 3500068 5250102 10500204