Search a number
-
+
12914200 = 2352134967
BaseRepresentation
bin110001010000…
…111000011000
3220022002221201
4301100320120
511301223300
61140443544
7214524505
oct61207030
926262851
1012914200
1173206a2
1243a95b4
1328a2150
141a024ac
15120166a
hexc50e18

12914200 has 48 divisors (see below), whose sum is σ = 32341680. Its totient is φ = 4767360.

The previous prime is 12914189. The next prime is 12914207. The reversal of 12914200 is 241921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12914207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117 + ... + 5083.

It is an arithmetic number, because the mean of its divisors is an integer number (673785).

Almost surely, 212914200 is an apocalyptic number.

12914200 is a gapful number since it is divisible by the number (10) 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 12914200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16170840).

12914200 is an abundant number, since it is smaller than the sum of its proper divisors (19427480).

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

12914200 is a wasteful number, since it uses less digits than its factorization.

12914200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4996 (or 4987 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 12914200 is about 3593.6332589734. The cubic root of 12914200 is about 234.6150329035.

The spelling of 12914200 in words is "twelve million, nine hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 4967 9934 19868 24835 39736 49670 64571 99340 124175 129142 198680 248350 258284 322855 496700 516568 645710 993400 1291420 1614275 2582840 3228550 6457100 12914200