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10003000 = 235371429
BaseRepresentation
bin100110001010…
…001000111000
3200211012112111
4212022020320
510030044000
6554222104
7151011160
oct46121070
920735474
1010003000
115712447
123424934
1320c3047
1414855a0
15d28cba
hex98a238

10003000 has 64 divisors (see below), whose sum is σ = 26769600. Its totient is φ = 3427200.

The previous prime is 10002983. The next prime is 10003001. The reversal of 10003000 is 30001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (4).

10003000 is a modest number, since divided by 3000 gives 1000 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6286 + ... + 7714.

It is an arithmetic number, because the mean of its divisors is an integer number (418275).

Almost surely, 210003000 is an apocalyptic number.

10003000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13384800).

10003000 is an abundant number, since it is smaller than the sum of its proper divisors (16766600).

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

10003000 is a wasteful number, since it uses less digits than its factorization.

10003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 4.

The square root of 10003000 is about 3162.7519662471. The cubic root of 10003000 is about 215.4650111960.

Adding to 10003000 its reverse (30001), we get a palindrome (10033001).

The spelling of 10003000 in words is "ten million, three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1429 1750 2858 3500 5716 7000 7145 10003 11432 14290 20006 28580 35725 40012 50015 57160 71450 80024 100030 142900 178625 200060 250075 285800 357250 400120 500150 714500 1000300 1250375 1429000 2000600 2500750 5001500 10003000