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10030208 = 27233407
BaseRepresentation
bin100110010000…
…110010000000
3200212120212012
4212100302000
510031431313
6554552052
7151153406
oct46206200
920776765
1010030208
115730931
123438628
132102546
141491476
15d31da8
hex990c80

10030208 has 32 divisors (see below), whose sum is σ = 20856960. Its totient is φ = 4795648.

The previous prime is 10030193. The next prime is 10030217. The reversal of 10030208 is 80203001.

10030208 = T142 + T143 + ... + T397.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 10030192 and 10030201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1241 + ... + 4647.

It is an arithmetic number, because the mean of its divisors is an integer number (651780).

Almost surely, 210030208 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 10030208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10428480).

10030208 is an abundant number, since it is smaller than the sum of its proper divisors (10826752).

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

10030208 is an equidigital number, since it uses as much as digits as its factorization.

10030208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3444 (or 3432 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 10030208 is about 3167.0503627192. The cubic root of 10030208 is about 215.6601881381.

Adding to 10030208 its reverse (80203001), we get a palindrome (90233209).

The spelling of 10030208 in words is "ten million, thirty thousand, two hundred eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 736 1472 2944 3407 6814 13628 27256 54512 78361 109024 156722 218048 313444 436096 626888 1253776 2507552 5015104 10030208