Search a number
-
+
2404724140 = 2257138315919
BaseRepresentation
bin1000111101010101…
…0010110110101100
320012120220122101001
42033111102312230
514411102133030
61034341330044
7113406550360
oct21725226654
96176818331
102404724140
111024449925
12571406924
132c4280cc0
1418b52d2a0
15e11aacca
hex8f552dac

2404724140 has 96 divisors (see below), whose sum is σ = 6290565120. Its totient is φ = 751838976.

The previous prime is 2404724111. The next prime is 2404724141. The reversal of 2404724140 is 414274042.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2404724099 and 2404724108.

It is not an unprimeable number, because it can be changed into a prime (2404724141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143101 + ... + 159019.

It is an arithmetic number, because the mean of its divisors is an integer number (65526720).

Almost surely, 22404724140 is an apocalyptic number.

2404724140 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 2404724140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145282560).

2404724140 is an abundant number, since it is smaller than the sum of its proper divisors (3885840980).

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

2404724140 is a wasteful number, since it uses less digits than its factorization.

2404724140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16031 (or 16029 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 28.

The square root of 2404724140 is about 49037.9867041868. The cubic root of 2404724140 is about 1339.7437952292.

Adding to 2404724140 its reverse (414274042), we get a palindrome (2818998182).

The spelling of 2404724140 in words is "two billion, four hundred four million, seven hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 83 91 130 140 166 182 260 332 364 415 455 581 830 910 1079 1162 1660 1820 2158 2324 2905 4316 5395 5810 7553 10790 11620 15106 15919 21580 30212 31838 37765 63676 75530 79595 111433 151060 159190 206947 222866 318380 413894 445732 557165 827788 1034735 1114330 1321277 1448629 2069470 2228660 2642554 2897258 4138940 5285108 5794516 6606385 7243145 9248939 13212770 14486290 17176601 18497878 26425540 28972580 34353202 36995756 46244695 68706404 85883005 92489390 120236207 171766010 184978780 240472414 343532020 480944828 601181035 1202362070 2404724140