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203048140 = 225232931491
BaseRepresentation
bin11000001101001…
…00010011001100
3112011001220200111
430012210103030
5403440020030
632052005404
75013611041
oct1406442314
9464056614
10203048140
11a4685089
1258000864
13330b3839
141cd771c8
1512c5c62a
hexc1a44cc

203048140 has 96 divisors (see below), whose sum is σ = 476098560. Its totient is φ = 72441600.

The previous prime is 203048137. The next prime is 203048161. The reversal of 203048140 is 41840302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 413295 + ... + 413785.

It is an arithmetic number, because the mean of its divisors is an integer number (4959360).

Almost surely, 2203048140 is an apocalyptic number.

203048140 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 203048140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238049280).

203048140 is an abundant number, since it is smaller than the sum of its proper divisors (273050420).

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

203048140 is a wasteful number, since it uses less digits than its factorization.

203048140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 203048140 is about 14249.4961314427. The cubic root of 203048140 is about 587.7595195678.

Adding to 203048140 its reverse (41840302), we get a palindrome (244888442).

The spelling of 203048140 in words is "two hundred three million, forty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 29 31 46 58 62 92 115 116 124 145 155 230 290 310 460 491 580 620 667 713 899 982 1334 1426 1798 1964 2455 2668 2852 3335 3565 3596 4495 4910 6670 7130 8990 9820 11293 13340 14239 14260 15221 17980 20677 22586 28478 30442 41354 45172 56465 56956 60884 71195 76105 82708 103385 112930 142390 152210 206770 225860 284780 304420 327497 350083 413540 441409 654994 700166 882818 1309988 1400332 1637485 1750415 1765636 2207045 3274970 3500830 4414090 6549940 7001660 8828180 10152407 20304814 40609628 50762035 101524070 203048140