Search a number
-
+
2003120240 = 2451114915277
BaseRepresentation
bin111011101100101…
…0011000001110000
312011121020001101112
41313121103001300
513100244321430
6530433452452
7100432145462
oct16731230160
95147201345
102003120240
11938788980
1247aa11128
1325bcca664
1415006c132
15baccc195
hex77653070

2003120240 has 80 divisors (see below), whose sum is σ = 5115074400. Its totient is φ = 723471360.

The previous prime is 2003120233. The next prime is 2003120261. The reversal of 2003120240 is 420213002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123482 + ... + 138758.

It is an arithmetic number, because the mean of its divisors is an integer number (63938430).

Almost surely, 22003120240 is an apocalyptic number.

2003120240 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 2003120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557537200).

2003120240 is an abundant number, since it is smaller than the sum of its proper divisors (3111954160).

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

2003120240 is a wasteful number, since it uses less digits than its factorization.

2003120240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15450 (or 15444 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2003120240 is about 44756.2312979992. The cubic root of 2003120240 is about 1260.5759187976.

Adding to 2003120240 its reverse (420213002), we get a palindrome (2423333242).

The spelling of 2003120240 in words is "two billion, three million, one hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 149 176 220 298 440 596 745 880 1192 1490 1639 2384 2980 3278 5960 6556 8195 11920 13112 15277 16390 26224 30554 32780 61108 65560 76385 122216 131120 152770 168047 244432 305540 336094 611080 672188 840235 1222160 1344376 1680470 2276273 2688752 3360940 4552546 6721880 9105092 11381365 13443760 18210184 22762730 25039003 36420368 45525460 50078006 91050920 100156012 125195015 182101840 200312024 250390030 400624048 500780060 1001560120 2003120240