Search a number
-
+
2768641 = 3124367
BaseRepresentation
bin1010100011111100000001
312012122212021
422203330001
51202044031
6135201441
732350561
oct12437401
95178767
102768641
111621137
12b16281
1375c265
14520da1
1539a511
hex2a3f01

2768641 has 12 divisors (see below), whose sum is σ = 2971056. Its totient is φ = 2577960.

The previous prime is 2768639. The next prime is 2768651. The reversal of 2768641 is 1468672.

It is not a de Polignac number, because 2768641 - 21 = 2768639 is a prime.

It is a Duffinian number.

2768641 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2768597 and 2768606.

It is not an unprimeable number, because it can be changed into a prime (2768611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41290 + ... + 41356.

It is an arithmetic number, because the mean of its divisors is an integer number (247588).

22768641 is an apocalyptic number.

2768641 is the 961-st octagonal number.

It is an amenable number.

2768641 is a deficient number, since it is larger than the sum of its proper divisors (202415).

2768641 is an equidigital number, since it uses as much as digits as its factorization.

2768641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 141 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The square root of 2768641 is about 1663.9233756396. The cubic root of 2768641 is about 140.4178164526.

The spelling of 2768641 in words is "two million, seven hundred sixty-eight thousand, six hundred forty-one".

Divisors: 1 31 43 67 961 1333 2077 2881 41323 64387 89311 2768641