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10001208 = 2337591009
BaseRepresentation
bin100110001001…
…101100111000
3200211010002010
4212021230320
510030014313
6554205520
7151003020
oct46115470
920733063
1010001208
115711068
1234238a0
1320c2299
141484a80
15d284c3
hex989b38

10001208 has 64 divisors (see below), whose sum is σ = 29088000. Its totient is φ = 2806272.

The previous prime is 10001207. The next prime is 10001209. The reversal of 10001208 is 80210001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10001207) and next prime (10001209).

It is a super-2 number, since 2×100012082 = 200048322918528, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10001193 and 10001202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001203) 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, 9408 + ... + 10416.

It is an arithmetic number, because the mean of its divisors is an integer number (454500).

Almost surely, 210001208 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 10001208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14544000).

10001208 is an abundant number, since it is smaller than the sum of its proper divisors (19086792).

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

10001208 is a wasteful number, since it uses less digits than its factorization.

10001208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 10001208 is about 3162.4686559712. The cubic root of 10001208 is about 215.4521438442.

Adding to 10001208 its reverse (80210001), we get a palindrome (90211209).

The spelling of 10001208 in words is "ten million, one thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 118 168 177 236 354 413 472 708 826 1009 1239 1416 1652 2018 2478 3027 3304 4036 4956 6054 7063 8072 9912 12108 14126 21189 24216 28252 42378 56504 59531 84756 119062 169512 178593 238124 357186 416717 476248 714372 833434 1250151 1428744 1666868 2500302 3333736 5000604 10001208