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10000508 = 227337197
BaseRepresentation
bin100110001001…
…100001111100
3200211002010012
4212021201330
510030004013
6554202352
7151001000
oct46114174
920732105
1010000508
115710591
1234233b8
1320c1b7b
141484700
15d281a8
hex98987c

10000508 has 48 divisors (see below), whose sum is σ = 21067200. Its totient is φ = 4148928.

The previous prime is 10000481. The next prime is 10000511. The reversal of 10000508 is 80500001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10000492 and 10000501.

It is a congruent number.

It is an unprimeable number.

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, 50666 + ... + 50862.

It is an arithmetic number, because the mean of its divisors is an integer number (438900).

Almost surely, 210000508 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 10000508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10533600).

10000508 is an abundant number, since it is smaller than the sum of its proper divisors (11066692).

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

10000508 is a wasteful number, since it uses less digits than its factorization.

10000508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 10000508 is about 3162.3579810009. The cubic root of 10000508 is about 215.4471171175.

Adding to 10000508 its reverse (80500001), we get a palindrome (90500509).

The spelling of 10000508 in words is "ten million, five hundred eight", and thus it is an aban number.

Divisors: 1 2 4 7 14 28 37 49 74 98 148 196 197 259 343 394 518 686 788 1036 1372 1379 1813 2758 3626 5516 7252 7289 9653 12691 14578 19306 25382 29156 38612 50764 51023 67571 102046 135142 204092 270284 357161 714322 1428644 2500127 5000254 10000508