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203429920 = 2551797103
BaseRepresentation
bin11000010000000…
…01100000100000
3112011210022101111
430020001200200
5404034224140
632104113104
75020061101
oct1410014040
9464708344
10203429920
11a4915a01
1258165794
13331b8545
141d0363a8
1512cd57ea
hexc201820

203429920 has 48 divisors (see below), whose sum is σ = 483356160. Its totient is φ = 80905984.

The previous prime is 203429899. The next prime is 203429921. The reversal of 203429920 is 29924302.

It is not an unprimeable number, because it can be changed into a prime (203429921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25089 + ... + 32191.

It is an arithmetic number, because the mean of its divisors is an integer number (10069920).

Almost surely, 2203429920 is an apocalyptic number.

203429920 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 203429920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241678080).

203429920 is an abundant number, since it is smaller than the sum of its proper divisors (279926240).

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

203429920 is a wasteful number, since it uses less digits than its factorization.

203429920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7297 (or 7289 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 203429920 is about 14262.8861034505. The cubic root of 203429920 is about 588.1276659871.

The spelling of 203429920 in words is "two hundred three million, four hundred twenty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 179 358 716 895 1432 1790 2864 3580 5728 7103 7160 14206 14320 28412 28640 35515 56824 71030 113648 142060 227296 284120 568240 1136480 1271437 2542874 5085748 6357185 10171496 12714370 20342992 25428740 40685984 50857480 101714960 203429920