Search a number
-
+
2021413344 = 253191995569
BaseRepresentation
bin111100001111100…
…0101000111100000
312012212122102210220
41320133011013200
513114440211334
6532325523040
7101043505236
oct17037050740
95185572726
102021413344
11948042845
12484b73480
13262a33b92
14152670956
15bc6e2449
hex787c51e0

2021413344 has 96 divisors (see below), whose sum is σ = 5614560000. Its totient is φ = 635019264.

The previous prime is 2021413343. The next prime is 2021413357. The reversal of 2021413344 is 4433141202.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×20214133442 = 8172223814602524672, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021413343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360192 + ... + 365760.

It is an arithmetic number, because the mean of its divisors is an integer number (58485000).

Almost surely, 22021413344 is an apocalyptic number.

2021413344 is a gapful number since it is divisible by the number (24) 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 2021413344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2807280000).

2021413344 is an abundant number, since it is smaller than the sum of its proper divisors (3593146656).

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

2021413344 is a wasteful number, since it uses less digits than its factorization.

2021413344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5800 (or 5792 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2021413344 is about 44960.1306047925. The cubic root of 2021413344 is about 1264.4016175581.

Adding to 2021413344 its reverse (4433141202), we get a palindrome (6454554546).

The spelling of 2021413344 in words is "two billion, twenty-one million, four hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 199 228 304 398 456 597 608 796 912 1194 1592 1824 2388 3184 3781 4776 5569 6368 7562 9552 11138 11343 15124 16707 19104 22276 22686 30248 33414 44552 45372 60496 66828 89104 90744 105811 120992 133656 178208 181488 211622 267312 317433 362976 423244 534624 634866 846488 1108231 1269732 1692976 2216462 2539464 3324693 3385952 4432924 5078928 6649386 8865848 10157856 13298772 17731696 21056389 26597544 35463392 42112778 53195088 63169167 84225556 106390176 126338334 168451112 252676668 336902224 505353336 673804448 1010706672 2021413344