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2750564340 = 2232526095857
BaseRepresentation
bin1010001111110010…
…0100011111110100
321002200200010221100
42203330210133310
521113121024330
61132534050100
7125106261006
oct24374443764
97080603840
102750564340
111191692777
126491a9930
1334ab0b984
141c1436376
15111722060
hexa3f247f4

2750564340 has 72 divisors (see below), whose sum is σ = 8348001480. Its totient is φ = 733077504.

The previous prime is 2750564309. The next prime is 2750564357. The reversal of 2750564340 is 434650572.

2750564340 is a `hidden beast` number, since 2 + 7 + 5 + 0 + 5 + 643 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 843670116 + 1906894224 = 29046^2 + 43668^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2750564295 and 2750564304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 466692 + ... + 472548.

It is an arithmetic number, because the mean of its divisors is an integer number (115944465).

Almost surely, 22750564340 is an apocalyptic number.

2750564340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2750564340 is an abundant number, since it is smaller than the sum of its proper divisors (5597437140).

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

2750564340 is a wasteful number, since it uses less digits than its factorization.

2750564340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8481 (or 8476 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 2750564340 is about 52445.8229032589. The cubic root of 2750564340 is about 1401.1154953107.

The spelling of 2750564340 in words is "two billion, seven hundred fifty million, five hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2609 5218 5857 7827 10436 11714 13045 15654 17571 23428 23481 26090 29285 31308 35142 39135 46962 52180 52713 58570 70284 78270 87855 93924 105426 117140 117405 156540 175710 210852 234810 263565 351420 469620 527130 1054260 15280913 30561826 45842739 61123652 76404565 91685478 137528217 152809130 183370956 229213695 275056434 305618260 458427390 550112868 687641085 916854780 1375282170 2750564340