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203420240 = 2454096217
BaseRepresentation
bin11000001111111…
…11001001010000
3112011202211002222
430013333021100
5404033421430
632104000212
75020020632
oct1407771120
9464684088
10203420240
11a4909701
1258160068
13331b400a
141d032a52
1512cd29e5
hexc1ff250

203420240 has 40 divisors (see below), whose sum is σ = 474184680. Its totient is φ = 81156096.

The previous prime is 203420237. The next prime is 203420281. The reversal of 203420240 is 42024302.

203420240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 82156096 + 121264144 = 9064^2 + 11012^2 .

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

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, 29612 + ... + 35828.

It is an arithmetic number, because the mean of its divisors is an integer number (11854617).

Almost surely, 2203420240 is an apocalyptic number.

203420240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203420240 is an abundant number, since it is smaller than the sum of its proper divisors (270764440).

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

203420240 is a wasteful number, since it uses less digits than its factorization.

203420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6639 (or 6633 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 203420240 is about 14262.5467571539. The cubic root of 203420240 is about 588.1183373592.

Adding to 203420240 its reverse (42024302), we get a palindrome (245444542).

The spelling of 203420240 in words is "two hundred three million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 409 818 1636 2045 3272 4090 6217 6544 8180 12434 16360 24868 31085 32720 49736 62170 99472 124340 248680 497360 2542753 5085506 10171012 12713765 20342024 25427530 40684048 50855060 101710120 203420240