Search a number
-
+
12958280 = 235323957
BaseRepresentation
bin110001011011…
…101001001000
3220101100102022
4301123221020
511304131110
61141424012
7215100146
oct61335110
926340368
1012958280
117350825
12440b008
1328b922a
141a14596
15120e755
hexc5ba48

12958280 has 16 divisors (see below), whose sum is σ = 29156220. Its totient is φ = 5183296.

The previous prime is 12958271. The next prime is 12958289. The reversal of 12958280 is 8285921.

It is an interprime number because it is at equal distance from previous prime (12958271) and next prime (12958289).

It can be written as a sum of positive squares in 2 ways, for example, as 11847364 + 1110916 = 3442^2 + 1054^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12958280.

It is not an unprimeable number, because it can be changed into a prime (12958289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 161939 + ... + 162018.

Almost surely, 212958280 is an apocalyptic number.

12958280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12958280 is an abundant number, since it is smaller than the sum of its proper divisors (16197940).

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

12958280 is a wasteful number, since it uses less digits than its factorization.

12958280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323968 (or 323964 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 12958280 is about 3599.7611031845. The cubic root of 12958280 is about 234.8816666951.

The spelling of 12958280 in words is "twelve million, nine hundred fifty-eight thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 323957 647914 1295828 1619785 2591656 3239570 6479140 12958280