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2130403320 = 2332521312777
BaseRepresentation
bin111111011111011…
…0101111111111000
312111110201200221200
41332332311333320
513330340401240
6551221534200
7103536062253
oct17676657770
95443650850
102130403320
119a3614601
124b5574360
1327c4a45a6
14162d2209a
15c7070930
hex7efb5ff8

2130403320 has 96 divisors (see below), whose sum is σ = 6929554320. Its totient is φ = 567636480.

The previous prime is 2130403273. The next prime is 2130403321. The reversal of 2130403320 is 233040312.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2130403293 and 2130403302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130403321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 765772 + ... + 768548.

Almost surely, 22130403320 is an apocalyptic number.

2130403320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2130403320 is an abundant number, since it is smaller than the sum of its proper divisors (4799151000).

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

2130403320 is a wasteful number, since it uses less digits than its factorization.

2130403320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4925 (or 4918 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2130403320 is about 46156.2923120998. The cubic root of 2130403320 is about 1286.7295559597.

Adding to 2130403320 its reverse (233040312), we get a palindrome (2363443632).

It can be divided in two parts, 2130 and 403320, that added together give a triangular number (405450 = T900).

The spelling of 2130403320 in words is "two billion, one hundred thirty million, four hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2131 2777 4262 5554 6393 8331 8524 10655 11108 12786 13885 16662 17048 19179 21310 22216 24993 25572 27770 31965 33324 38358 41655 42620 49986 51144 55540 63930 66648 76716 83310 85240 95895 99972 111080 124965 127860 153432 166620 191790 199944 249930 255720 333240 383580 499860 767160 999720 5917787 11835574 17753361 23671148 29588935 35506722 47342296 53260083 59177870 71013444 88766805 106520166 118355740 142026888 177533610 213040332 236711480 266300415 355067220 426080664 532600830 710134440 1065201660 2130403320