[go: up one dir, main page]

Search a number
-
+
2781108 = 2233112341
BaseRepresentation
bin1010100110111110110100
312020021222000
422212332310
51202443413
6135335300
732432121
oct12467664
95207860
102781108
11162a540
12b21530
13764b35
14525748
1539e073
hex2a6fb4

2781108 has 48 divisors (see below), whose sum is σ = 7869120. Its totient is φ = 842400.

The previous prime is 2781089. The next prime is 2781109. The reversal of 2781108 is 8011872.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2781109) 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 15 ways as a sum of consecutive naturals, for example, 18 + ... + 2358.

It is an arithmetic number, because the mean of its divisors is an integer number (163940).

22781108 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 2781108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934560).

2781108 is an abundant number, since it is smaller than the sum of its proper divisors (5088012).

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

2781108 is a wasteful number, since it uses less digits than its factorization.

2781108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 2781108 is about 1667.6654340724. The cubic root of 2781108 is about 140.6282648131.

The spelling of 2781108 in words is "two million, seven hundred eighty-one thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 2341 4682 7023 9364 14046 21069 25751 28092 42138 51502 63207 77253 84276 103004 126414 154506 231759 252828 309012 463518 695277 927036 1390554 2781108