Search a number
-
+
2520304440 = 233541975281
BaseRepresentation
bin1001011000111000…
…1100101100111000
320111122101201201220
42112032030230320
520130144220230
61054030512040
7116312143233
oct22616145470
96448351656
102520304440
111083712035
125a4065620
133121bb304
1419ca1841a
15eb3dbd10
hex9638cb38

2520304440 has 128 divisors (see below), whose sum is σ = 7826656320. Its totient is φ = 648806400.

The previous prime is 2520304393. The next prime is 2520304441. The reversal of 2520304440 is 444030252.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2520304440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2520304441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 474600 + ... + 479880.

Almost surely, 22520304440 is an apocalyptic number.

2520304440 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 2520304440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3913328160).

2520304440 is an abundant number, since it is smaller than the sum of its proper divisors (5306351880).

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

2520304440 is a wasteful number, since it uses less digits than its factorization.

2520304440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5433 (or 5429 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 2520304440 is about 50202.6337954494. The cubic root of 2520304440 is about 1360.8732209259.

Adding to 2520304440 its reverse (444030252), we get a palindrome (2964334692).

The spelling of 2520304440 in words is "two billion, five hundred twenty million, three hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 97 120 123 164 194 205 246 291 328 388 410 485 492 582 615 776 820 970 984 1164 1230 1455 1640 1940 2328 2460 2910 3880 3977 4920 5281 5820 7954 10562 11640 11931 15843 15908 19885 21124 23862 26405 31686 31816 39770 42248 47724 52810 59655 63372 79215 79540 95448 105620 119310 126744 158430 159080 211240 216521 238620 316860 433042 477240 512257 633720 649563 866084 1024514 1082605 1299126 1536771 1732168 2049028 2165210 2561285 2598252 3073542 3247815 4098056 4330420 5122570 5196504 6147084 6495630 7683855 8660840 10245140 12294168 12991260 15367710 20490280 21002537 25982520 30735420 42005074 61470840 63007611 84010148 105012685 126015222 168020296 210025370 252030444 315038055 420050740 504060888 630076110 840101480 1260152220 2520304440