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2021361320 = 2351116727509
BaseRepresentation
bin111100001111011…
…1000011010101000
312012212112210110002
41320132320122220
513114432030240
6532324442132
7101043200456
oct17036703250
95185483402
102021361320
11948007750
12484b49348
13262a162b4
141526599d6
15bc6d1d15
hex787b86a8

2021361320 has 64 divisors (see below), whose sum is σ = 4991414400. Its totient is φ = 730612480.

The previous prime is 2021361311. The next prime is 2021361323. The reversal of 2021361320 is 231631202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2021361292 and 2021361301.

It is not an unprimeable number, because it can be changed into a prime (2021361323) 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, 59726 + ... + 87234.

It is an arithmetic number, because the mean of its divisors is an integer number (77990850).

Almost surely, 22021361320 is an apocalyptic number.

2021361320 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 2021361320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495707200).

2021361320 is an abundant number, since it is smaller than the sum of its proper divisors (2970053080).

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

2021361320 is a wasteful number, since it uses less digits than its factorization.

2021361320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27698 (or 27694 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 2021361320 is about 44959.5520440318. The cubic root of 2021361320 is about 1264.3907703961.

Adding to 2021361320 its reverse (231631202), we get a palindrome (2252992522).

The spelling of 2021361320 in words is "two billion, twenty-one million, three hundred sixty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 167 220 334 440 668 835 1336 1670 1837 3340 3674 6680 7348 9185 14696 18370 27509 36740 55018 73480 110036 137545 220072 275090 302599 550180 605198 1100360 1210396 1512995 2420792 3025990 4594003 6051980 9188006 12103960 18376012 22970015 36752024 45940030 50534033 91880060 101068066 183760120 202136132 252670165 404272264 505340330 1010680660 2021361320