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2146061320 = 235138394919
BaseRepresentation
bin111111111101010…
…0100110000001000
312112120012012200121
41333322210300020
513343342430240
6552541313024
7104116135354
oct17772446010
95476165617
102146061320
11a014396a7
124ba865774
132827c7590
1416503a464
15c861504a
hex7fea4c08

2146061320 has 64 divisors (see below), whose sum is σ = 5207328000. Its totient is φ = 791286528.

The previous prime is 2146061311. The next prime is 2146061347. The reversal of 2146061320 is 231606412.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433821 + ... + 438739.

It is an arithmetic number, because the mean of its divisors is an integer number (81364500).

Almost surely, 22146061320 is an apocalyptic number.

2146061320 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 2146061320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2603664000).

2146061320 is an abundant number, since it is smaller than the sum of its proper divisors (3061266680).

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

2146061320 is a wasteful number, since it uses less digits than its factorization.

2146061320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5782 (or 5778 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 2146061320 is about 46325.6011293971. The cubic root of 2146061320 is about 1289.8742581202.

Adding to 2146061320 its reverse (231606412), we get a palindrome (2377667732).

The spelling of 2146061320 in words is "two billion, one hundred forty-six million, sixty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 839 1678 3356 4195 4919 6712 8390 9838 10907 16780 19676 21814 24595 33560 39352 43628 49190 54535 63947 87256 98380 109070 127894 196760 218140 255788 319735 436280 511576 639470 1278940 2557880 4127041 8254082 16508164 20635205 33016328 41270410 53651533 82540820 107303066 165081640 214606132 268257665 429212264 536515330 1073030660 2146061320