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2707968 = 2934143
BaseRepresentation
bin1010010101001000000000
312002120122010
422111020000
51143123333
6134012520
732005644
oct12251000
95076563
102707968
11158a59a
12aa7140
1373a763
14506c24
15387563
hex295200

2707968 has 80 divisors (see below), whose sum is σ = 7562016. Its totient is φ = 860160.

The previous prime is 2707967. The next prime is 2707979. The reversal of 2707968 is 8697072.

It is not an unprimeable number, because it can be changed into a prime (2707961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62955 + ... + 62997.

22707968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2707968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3781008).

2707968 is an abundant number, since it is smaller than the sum of its proper divisors (4854048).

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

2707968 is an equidigital number, since it uses as much as digits as its factorization.

2707968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 2707968 is about 1645.5904715329. The cubic root of 2707968 is about 139.3845089265.

The spelling of 2707968 in words is "two million, seven hundred seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 43 48 64 82 86 96 123 128 129 164 172 192 246 256 258 328 344 384 492 512 516 656 688 768 984 1032 1312 1376 1536 1763 1968 2064 2624 2752 3526 3936 4128 5248 5289 5504 7052 7872 8256 10496 10578 11008 14104 15744 16512 20992 21156 22016 28208 31488 33024 42312 56416 62976 66048 84624 112832 169248 225664 338496 451328 676992 902656 1353984 2707968