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10000200 = 2335272381
BaseRepresentation
bin100110001001…
…011101001000
3200211001200210
4212021131020
510030001300
6554201120
7151000050
oct46113510
920731623
1010000200
115710331
1234231a0
1320c19a2
141484560
15d28050
hex989748

10000200 has 96 divisors (see below), whose sum is σ = 35444160. Its totient is φ = 2284800.

The previous prime is 10000189. The next prime is 10000223. The reversal of 10000200 is 200001.

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3010 + ... + 5390.

It is an arithmetic number, because the mean of its divisors is an integer number (369210).

Almost surely, 210000200 is an apocalyptic number.

10000200 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 10000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17722080).

10000200 is an abundant number, since it is smaller than the sum of its proper divisors (25443960).

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

10000200 is a wasteful number, since it uses less digits than its factorization.

10000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 3.

The square root of 10000200 is about 3162.3092827869. The cubic root of 10000200 is about 215.4449052834. Note that the first 3 decimals are identical.

Adding to 10000200 its reverse (200001), we get a palindrome (10200201).

The spelling of 10000200 in words is "ten million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 2381 4200 4762 7143 9524 11905 14286 16667 19048 23810 28572 33334 35715 47620 50001 57144 59525 66668 71430 83335 95240 100002 119050 133336 142860 166670 178575 200004 238100 250005 285720 333340 357150 400008 416675 476200 500010 666680 714300 833350 1000020 1250025 1428600 1666700 2000040 2500050 3333400 5000100 10000200