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2021323460 = 22513172291997
BaseRepresentation
bin111100001111010…
…1111001011000100
312012212110212111212
41320132233023010
513114424322320
6532323550552
7101042652212
oct17036571304
95185425455
102021323460
11947a91262
12484b2b458
13262a01cb0
14152649cb2
15bc6c59c5
hex787af2c4

2021323460 has 96 divisors (see below), whose sum is σ = 4863771360. Its totient is φ = 699015168.

The previous prime is 2021323457. The next prime is 2021323471. The reversal of 2021323460 is 643231202.

It can be written as a sum of positive squares in 16 ways, for example, as 578691136 + 1442632324 = 24056^2 + 37982^2 .

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, 1011182 + ... + 1013178.

It is an arithmetic number, because the mean of its divisors is an integer number (50664285).

Almost surely, 22021323460 is an apocalyptic number.

2021323460 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 2021323460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431885680).

2021323460 is an abundant number, since it is smaller than the sum of its proper divisors (2842447900).

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

2021323460 is a wasteful number, since it uses less digits than its factorization.

2021323460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2263 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 2021323460 is about 44959.1309969399. The cubic root of 2021323460 is about 1264.3828763541.

Adding to 2021323460 its reverse (643231202), we get a palindrome (2664554662).

The spelling of 2021323460 in words is "two billion, twenty-one million, three hundred twenty-three thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 229 260 340 442 458 884 916 1105 1145 1997 2210 2290 2977 3893 3994 4420 4580 5954 7786 7988 9985 11908 14885 15572 19465 19970 25961 29770 33949 38930 39940 50609 51922 59540 67898 77860 101218 103844 129805 135796 169745 202436 253045 259610 339490 441337 457313 506090 519220 678980 882674 914626 1012180 1765348 1829252 2206685 2286565 4413370 4573130 5945069 7774321 8826740 9146260 11890138 15548642 23780276 29725345 31097284 38871605 59450690 77743210 101066173 118901380 155486420 202132346 404264692 505330865 1010661730 2021323460