Search a number
-
+
2776768 = 26431009
BaseRepresentation
bin1010100101111011000000
312020002000021
422211323000
51202324033
6135303224
732413351
oct12457300
95202007
102776768
111627255
12b1ab14
13762b77
14523d28
1539cb2d
hex2a5ec0

2776768 has 28 divisors (see below), whose sum is σ = 5643880. Its totient is φ = 1354752.

The previous prime is 2776751. The next prime is 2776769. The reversal of 2776768 is 8676772.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (2776769) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2248 + ... + 3256.

22776768 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 2776768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2821940).

2776768 is an abundant number, since it is smaller than the sum of its proper divisors (2867112).

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

2776768 is a wasteful number, since it uses less digits than its factorization.

2776768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1054 counting only the distinct ones).

The product of its digits is 197568, while the sum is 43.

The square root of 2776768 is about 1666.3637057977. The cubic root of 2776768 is about 140.5550752279. Note that the first 3 decimals are identical.

The spelling of 2776768 in words is "two million, seven hundred seventy-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 43 64 86 172 344 688 1009 1376 2018 2752 4036 8072 16144 32288 43387 64576 86774 173548 347096 694192 1388384 2776768