[go: up one dir, main page]

Search a number
-
+
10004208 = 2433743131
BaseRepresentation
bin100110001010…
…011011110000
3200211021012020
4212022123300
510030113313
6554231440
7151014534
oct46123360
920737166
1010004208
115713345
123425580
1320c3766
141485bc4
15d29323
hex98a6f0

10004208 has 80 divisors (see below), whose sum is σ = 27367296. Its totient is φ = 3144960.

The previous prime is 10004207. The next prime is 10004231. The reversal of 10004208 is 80240001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76303 + ... + 76433.

Almost surely, 210004208 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 10004208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13683648).

10004208 is an abundant number, since it is smaller than the sum of its proper divisors (17363088).

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

10004208 is a wasteful number, since it uses less digits than its factorization.

10004208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 10004208 is about 3162.9429334087. The cubic root of 10004208 is about 215.4736843026.

Adding to 10004208 its reverse (80240001), we get a palindrome (90244209).

The spelling of 10004208 in words is "ten million, four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 43 48 74 86 111 129 131 148 172 222 258 262 296 344 393 444 516 524 592 688 786 888 1032 1048 1572 1591 1776 2064 2096 3144 3182 4773 4847 5633 6288 6364 9546 9694 11266 12728 14541 16899 19092 19388 22532 25456 29082 33798 38184 38776 45064 58164 67596 76368 77552 90128 116328 135192 208421 232656 270384 416842 625263 833684 1250526 1667368 2501052 3334736 5002104 10004208