Search a number
-
+
2780920 = 235371879
BaseRepresentation
bin1010100110111011111000
312020021201001
422212323320
51202442140
6135334344
732431432
oct12467370
95207631
102780920
11162a38a
12b213b4
13764a1c
14525652
1539de9a
hex2a6ef8

2780920 has 32 divisors (see below), whose sum is σ = 6429600. Its totient is φ = 1081728.

The previous prime is 2780909. The next prime is 2780923. The reversal of 2780920 is 290872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2780923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 541 + ... + 2419.

It is an arithmetic number, because the mean of its divisors is an integer number (200925).

22780920 is an apocalyptic number.

2780920 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 2780920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214800).

2780920 is an abundant number, since it is smaller than the sum of its proper divisors (3648680).

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

2780920 is a wasteful number, since it uses less digits than its factorization.

2780920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 2780920 is about 1667.6090668979. The cubic root of 2780920 is about 140.6250959670.

The spelling of 2780920 in words is "two million, seven hundred eighty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 1879 3758 7516 9395 15032 18790 37580 69523 75160 139046 278092 347615 556184 695230 1390460 2780920