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203169920 = 275317453
BaseRepresentation
bin11000001110000…
…10000010000000
3112011022002201212
430013002002000
5404002414140
632054345252
75014626062
oct1407020200
9464262655
10203169920
11a4758628
125805b228
13331270b5
141cda9732
1512c83765
hexc1c2080

203169920 has 32 divisors (see below), whose sum is σ = 485704620. Its totient is φ = 81267712.

The previous prime is 203169919. The next prime is 203169949. The reversal of 203169920 is 29961302.

It can be written as a sum of positive squares in 2 ways, for example, as 187361344 + 15808576 = 13688^2 + 3976^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 158087 + ... + 159366.

Almost surely, 2203169920 is an apocalyptic number.

203169920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203169920 is an abundant number, since it is smaller than the sum of its proper divisors (282534700).

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

203169920 is an equidigital number, since it uses as much as digits as its factorization.

203169920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317472 (or 317460 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 203169920 is about 14253.7686244726. The cubic root of 203169920 is about 587.8770008201.

The spelling of 203169920 in words is "two hundred three million, one hundred sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 317453 634906 1269812 1587265 2539624 3174530 5079248 6349060 10158496 12698120 20316992 25396240 40633984 50792480 101584960 203169920