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2806945720 = 235533833457
BaseRepresentation
bin1010011101001110…
…1001011110111000
321020121202121122121
42213103221132320
521222034230340
61142310331024
7126362434135
oct24723513670
97217677577
102806945720
1112104a1957
12664059a74
133596bc837
141c8b1158c
1511665c94a
hexa74e97b8

2806945720 has 64 divisors (see below), whose sum is σ = 6453457920. Its totient is φ = 1098399744.

The previous prime is 2806945711. The next prime is 2806945721. The reversal of 2806945720 is 275496082.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2806945721) 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, 810232 + ... + 813688.

It is an arithmetic number, because the mean of its divisors is an integer number (100835280).

Almost surely, 22806945720 is an apocalyptic number.

2806945720 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 2806945720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3226728960).

2806945720 is an abundant number, since it is smaller than the sum of its proper divisors (3646512200).

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

2806945720 is a wasteful number, since it uses less digits than its factorization.

2806945720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3904 (or 3900 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 2806945720 is about 52980.6164554547. The cubic root of 2806945720 is about 1410.6242260622.

The spelling of 2806945720 in words is "two billion, eight hundred six million, nine hundred forty-five thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 383 424 530 766 1060 1532 1915 2120 3064 3457 3830 6914 7660 13828 15320 17285 20299 27656 34570 40598 69140 81196 101495 138280 162392 183221 202990 366442 405980 732884 811960 916105 1324031 1465768 1832210 2648062 3664420 5296124 6620155 7328840 10592248 13240310 26480620 52961240 70173643 140347286 280694572 350868215 561389144 701736430 1403472860 2806945720