Search a number
-
+
203934720 = 21035111771
BaseRepresentation
bin11000010011111…
…00110000000000
3112012201221211210
430021330300000
5404201402340
632123010120
75024262603
oct1411746000
9465657753
10203934720
11a51301a0
1258369940
1333334242
141d12833a
1512d85180
hexc27cc00

203934720 has 352 divisors, whose sum is σ = 764038656. Its totient is φ = 45875200.

The previous prime is 203934719. The next prime is 203934743. The reversal of 203934720 is 27439302.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2872285 + ... + 2872355.

Almost surely, 2203934720 is an apocalyptic number.

203934720 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 203934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382019328).

203934720 is an abundant number, since it is smaller than the sum of its proper divisors (560103936).

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

203934720 is a wasteful number, since it uses less digits than its factorization.

203934720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 203934720 is about 14280.5714171387. The cubic root of 203934720 is about 588.6137328259.

The spelling of 203934720 in words is "two hundred three million, nine hundred thirty-four thousand, seven hundred twenty".