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203305040 = 24517149489
BaseRepresentation
bin11000001111000…
…11000001010000
3112011112222002022
430013203001100
5404021230130
632101311012
75016031031
oct1407430120
9464488068
10203305040
11a48400a4
1258105468
1333173753
141d002a88
1512cad7e5
hexc1e3050

203305040 has 40 divisors (see below), whose sum is σ = 500492520. Its totient is φ = 76537856.

The previous prime is 203304991. The next prime is 203305079. The reversal of 203305040 is 40503302.

It can be written as a sum of positive squares in 4 ways, for example, as 14077504 + 189227536 = 3752^2 + 13756^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73385 + ... + 76104.

It is an arithmetic number, because the mean of its divisors is an integer number (12512313).

Almost surely, 2203305040 is an apocalyptic number.

203305040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203305040 is an abundant number, since it is smaller than the sum of its proper divisors (297187480).

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

203305040 is a wasteful number, since it uses less digits than its factorization.

203305040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149519 (or 149513 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 203305040 is about 14258.5076357941. The cubic root of 203305040 is about 588.0072962520.

Adding to 203305040 its reverse (40503302), we get a palindrome (243808342).

The spelling of 203305040 in words is "two hundred three million, three hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 149489 298978 597956 747445 1195912 1494890 2391824 2541313 2989780 5082626 5979560 10165252 11959120 12706565 20330504 25413130 40661008 50826260 101652520 203305040