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203029040 = 24513119373
BaseRepresentation
bin11000001100111…
…11101000110000
3112011000221111002
430012133220300
5403433412130
632051341132
75013501254
oct1406375060
9464027432
10203029040
11a46717a5
1257bb17a8
13330a7c36
141cd70264
1512c56b45
hexc19fa30

203029040 has 40 divisors (see below), whose sum is σ = 475670448. Its totient is φ = 80587520.

The previous prime is 203029037. The next prime is 203029069. The reversal of 203029040 is 40920302.

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

It is a super-3 number, since 3×2030290403 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 794 + ... + 20166.

Almost surely, 2203029040 is an apocalyptic number.

203029040 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 203029040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237835224).

203029040 is an abundant number, since it is smaller than the sum of its proper divisors (272641408).

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

203029040 is a wasteful number, since it uses less digits than its factorization.

203029040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19517 (or 19511 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 203029040 is about 14248.8259165448. The cubic root of 203029040 is about 587.7410895231.

Adding to 203029040 its reverse (40920302), we get a palindrome (243949342).

The spelling of 203029040 in words is "two hundred three million, twenty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 524 655 1048 1310 2096 2620 5240 10480 19373 38746 77492 96865 154984 193730 309968 387460 774920 1549840 2537863 5075726 10151452 12689315 20302904 25378630 40605808 50757260 101514520 203029040