Search a number
-
+
7422986420 = 22517231396829
BaseRepresentation
bin1101110100111000…
…11100100010110100
3201011022122210001222
412322130130202310
5110200241031140
63224324205512
7351643225553
oct67234344264
921138583058
107422986420
11316a09a623
121531b39898
13913b35075
14505bc5d9a
152d6a1d5b5
hex1ba71c8b4

7422986420 has 96 divisors (see below), whose sum is σ = 17349292800. Its totient is φ = 2653415424.

The previous prime is 7422986383. The next prime is 7422986423. The reversal of 7422986420 is 246892247.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7422986423) 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, 1083566 + ... + 1090394.

It is an arithmetic number, because the mean of its divisors is an integer number (180721800).

Almost surely, 27422986420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7422986420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8674646400).

7422986420 is an abundant number, since it is smaller than the sum of its proper divisors (9926306380).

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

7422986420 is a wasteful number, since it uses less digits than its factorization.

7422986420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7017 (or 7015 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The square root of 7422986420 is about 86156.7549296049. The cubic root of 7422986420 is about 1950.7108011393.

The spelling of 7422986420 in words is "seven billion, four hundred twenty-two million, nine hundred eighty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 139 170 230 278 340 391 460 556 695 782 1390 1564 1955 2363 2780 3197 3910 4726 6394 6829 7820 9452 11815 12788 13658 15985 23630 27316 31970 34145 47260 54349 63940 68290 108698 116093 136580 157067 217396 232186 271745 314134 464372 543490 580465 628268 785335 949231 1086980 1160930 1570670 1898462 2321860 2670139 3141340 3796924 4746155 5340278 9492310 10680556 13350695 16136927 18984620 21832313 26701390 32273854 43664626 53402780 64547708 80684635 87329252 109161565 161369270 218323130 322738540 371149321 436646260 742298642 1484597284 1855746605 3711493210 7422986420