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203028820 = 22523449983
BaseRepresentation
bin11000001100111…
…11100101010100
3112011000221011221
430012133211110
5403433410240
632051340124
75013500521
oct1406374524
9464027157
10203028820
11a4671615
1257bb1644
13330a7ac7
141cd70148
1512c56a4a
hexc19f954

203028820 has 48 divisors (see below), whose sum is σ = 446342400. Its totient is φ = 77428736.

The previous prime is 203028811. The next prime is 203028823. The reversal of 203028820 is 28820302.

203028820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203028823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206049 + ... + 207031.

It is an arithmetic number, because the mean of its divisors is an integer number (9298800).

Almost surely, 2203028820 is an apocalyptic number.

203028820 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 203028820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223171200).

203028820 is an abundant number, since it is smaller than the sum of its proper divisors (243313580).

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

203028820 is a wasteful number, since it uses less digits than its factorization.

203028820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 203028820 is about 14248.8181966084. The cubic root of 203028820 is about 587.7408772332.

The spelling of 203028820 in words is "two hundred three million, twenty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 449 460 898 983 1796 1966 2245 3932 4490 4915 8980 9830 10327 19660 20654 22609 41308 45218 51635 90436 103270 113045 206540 226090 441367 452180 882734 1765468 2206835 4413670 8827340 10151441 20302882 40605764 50757205 101514410 203028820