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203069000 = 2353613329
BaseRepresentation
bin11000001101010…
…01011001001000
3112011002222022002
430012221121020
5403441202000
632052250132
75014025621
oct1406513110
9464088262
10203069000
11a4699822
1258010948
13330c0194
141cd80a48
1512c638d5
hexc1a9648

203069000 has 64 divisors (see below), whose sum is σ = 483116400. Its totient is φ = 79872000.

The previous prime is 203068993. The next prime is 203069011. The reversal of 203069000 is 960302.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6340324 + 196728676 = 2518^2 + 14026^2 .

It is a super-2 number, since 2×2030690002 = 82474037522000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 59336 + ... + 62664.

Almost surely, 2203069000 is an apocalyptic number.

203069000 is a gapful number since it is divisible by the number (20) 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 203069000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241558200).

203069000 is an abundant number, since it is smaller than the sum of its proper divisors (280047400).

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

203069000 is a wasteful number, since it uses less digits than its factorization.

203069000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3411 (or 3397 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 203069000 is about 14250.2280683503. The cubic root of 203069000 is about 587.7796465579.

The spelling of 203069000 in words is "two hundred three million, sixty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 125 200 244 250 305 488 500 610 1000 1220 1525 2440 3050 3329 6100 6658 7625 12200 13316 15250 16645 26632 30500 33290 61000 66580 83225 133160 166450 203069 332900 406138 416125 665800 812276 832250 1015345 1624552 1664500 2030690 3329000 4061380 5076725 8122760 10153450 20306900 25383625 40613800 50767250 101534500 203069000