Search a number
-
+
17420212140 = 223510910932437
BaseRepresentation
bin10000001110010100…
…110101011110101100
31122222001012110121020
4100032110311132230
5241134033242030
612000331334140
71154455234332
oct201624653654
948861173536
1017420212140
11742a28a241
123461bb1350
131848090846
14bb3825b52
156be52e510
hex40e5357ac

17420212140 has 96 divisors (see below), whose sum is σ = 49289338560. Its totient is φ = 4596673536.

The previous prime is 17420212133. The next prime is 17420212223. The reversal of 17420212140 is 4121202471.

It is a self number, because there is not a number n which added to its sum of digits gives 17420212140.

It is an unprimeable number.

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, 7147002 + ... + 7149438.

It is an arithmetic number, because the mean of its divisors is an integer number (513430610).

Almost surely, 217420212140 is an apocalyptic number.

17420212140 is a gapful number since it is divisible by the number (10) 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 17420212140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24644669280).

17420212140 is an abundant number, since it is smaller than the sum of its proper divisors (31869126420).

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

17420212140 is a wasteful number, since it uses less digits than its factorization.

17420212140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3651 (or 3649 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The spelling of 17420212140 in words is "seventeen billion, four hundred twenty million, two hundred twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 218 327 436 545 654 1090 1093 1308 1635 2180 2186 2437 3270 3279 4372 4874 5465 6540 6558 7311 9748 10930 12185 13116 14622 16395 21860 24370 29244 32790 36555 48740 65580 73110 119137 146220 238274 265633 357411 476548 531266 595685 714822 796899 1062532 1191370 1328165 1429644 1593798 1787055 2382740 2656330 2663641 3187596 3574110 3984495 5312660 5327282 7148220 7968990 7990923 10654564 13318205 15937980 15981846 26636410 31963692 39954615 53272820 79909230 159818460 290336869 580673738 871010607 1161347476 1451684345 1742021214 2903368690 3484042428 4355053035 5806737380 8710106070 17420212140