Search a number
-
+
12819880 = 235417817
BaseRepresentation
bin110000111001…
…110110101000
3220010022120101
4300321312220
511240214010
61134435144
7213652513
oct60716650
926108511
1012819880
117266847
124362ab4
13286b238
1419b9d7a
1511d373a
hexc39da8

12819880 has 32 divisors (see below), whose sum is σ = 29552040. Its totient is φ = 5002240.

The previous prime is 12819869. The next prime is 12819881. The reversal of 12819880 is 8891821.

12819880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2490084 + 10329796 = 1578^2 + 3214^2 .

It is not an unprimeable number, because it can be changed into a prime (12819881) 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, 2269 + ... + 5548.

Almost surely, 212819880 is an apocalyptic number.

12819880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12819880 is an abundant number, since it is smaller than the sum of its proper divisors (16732160).

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

12819880 is a wasteful number, since it uses less digits than its factorization.

12819880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7869 (or 7865 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 37.

The square root of 12819880 is about 3580.4860005312. The cubic root of 12819880 is about 234.0424594830.

The spelling of 12819880 in words is "twelve million, eight hundred nineteen thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 7817 15634 31268 39085 62536 78170 156340 312680 320497 640994 1281988 1602485 2563976 3204970 6409940 12819880