Search a number
-
+
2103002400 = 253521098039
BaseRepresentation
bin111110101011001…
…0100010100100000
312102120011120221210
41331112110110200
513301332034100
6544402350120
7103054140222
oct17526242440
95376146853
102103002400
1198a0a9914
124a835b340
132768cc625
1415d42c412
15c495bc50
hex7d594520

2103002400 has 144 divisors (see below), whose sum is σ = 6908932800. Its totient is φ = 555586560.

The previous prime is 2103002387. The next prime is 2103002491. The reversal of 2103002400 is 42003012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257581 + ... + 265619.

It is an arithmetic number, because the mean of its divisors is an integer number (47978700).

Almost surely, 22103002400 is an apocalyptic number.

2103002400 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 2103002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3454466400).

2103002400 is an abundant number, since it is smaller than the sum of its proper divisors (4805930400).

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

2103002400 is a wasteful number, since it uses less digits than its factorization.

2103002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8171 (or 8158 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2103002400 is about 45858.5041186474. The cubic root of 2103002400 is about 1281.1891618148.

Adding to 2103002400 its reverse (42003012), we get a palindrome (2145005412).

The spelling of 2103002400 in words is "two billion, one hundred three million, two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 109 120 150 160 200 218 240 300 327 400 436 480 545 600 654 800 872 1090 1200 1308 1635 1744 2180 2400 2616 2725 3270 3488 4360 5232 5450 6540 8039 8175 8720 10464 10900 13080 16078 16350 17440 21800 24117 26160 32156 32700 40195 43600 48234 52320 64312 65400 80390 87200 96468 120585 128624 130800 160780 192936 200975 241170 257248 261600 321560 385872 401950 482340 602925 643120 771744 803900 876251 964680 1205850 1286240 1607800 1752502 1929360 2411700 2628753 3215600 3505004 3858720 4381255 4823400 5257506 6431200 7010008 8762510 9646800 10515012 13143765 14020016 17525020 19293600 21030024 21906275 26287530 28040032 35050040 42060048 43812550 52575060 65718825 70100080 84120096 87625100 105150120 131437650 140200160 175250200 210300240 262875300 350500400 420600480 525750600 701000800 1051501200 2103002400