Search a number
-
+
12959190 = 23555333
BaseRepresentation
bin110001011011…
…110111010110
3220101101200000
4301123313112
511304143230
61141432130
7215102616
oct61336726
926341600
1012959190
117351482
12440b646
1328b977a
141a14a46
15120eb60
hexc5bdd6

12959190 has 48 divisors (see below), whose sum is σ = 34948368. Its totient is φ = 3455136.

The previous prime is 12959183. The next prime is 12959231. The reversal of 12959190 is 9195921.

It is a super-2 number, since 2×129591902 = 335881210912200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237 + ... + 5096.

It is an arithmetic number, because the mean of its divisors is an integer number (728091).

Almost surely, 212959190 is an apocalyptic number.

12959190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12959190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17474184).

12959190 is an abundant number, since it is smaller than the sum of its proper divisors (21989178).

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

12959190 is an equidigital number, since it uses as much as digits as its factorization.

12959190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5355 (or 5343 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 36.

The square root of 12959190 is about 3599.8874982421. The cubic root of 12959190 is about 234.8871647836.

It can be divided in two parts, 129 and 59190, that added together give a cube (59319 = 393).

The spelling of 12959190 in words is "twelve million, nine hundred fifty-nine thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 2430 5333 10666 15999 26665 31998 47997 53330 79995 95994 143991 159990 239985 287982 431973 479970 719955 863946 1295919 1439910 2159865 2591838 4319730 6479595 12959190