Search a number
-
+
12249150 = 2352127643
BaseRepresentation
bin101110101110…
…100000111110
3212001022200020
4232232200332
511113433100
61114313010
7206054544
oct56564076
925038606
1012249150
116a06a71
124128766
1326cb524
1418abd94
15111e5a0
hexbae83e

12249150 has 48 divisors (see below), whose sum is σ = 30664704. Its totient is φ = 3235680.

The previous prime is 12249143. The next prime is 12249151. The reversal of 12249150 is 5194221.

Added to its reverse (5194221) it gives a triangular number (17443371 = T5906).

It is a self number, because there is not a number n which added to its sum of digits gives 12249150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12249151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18729 + ... + 19371.

It is an arithmetic number, because the mean of its divisors is an integer number (638848).

Almost surely, 212249150 is an apocalyptic number.

12249150 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 12249150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15332352).

12249150 is an abundant number, since it is smaller than the sum of its proper divisors (18415554).

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

12249150 is a wasteful number, since it uses less digits than its factorization.

12249150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 12249150 is about 3499.8785693221. The cubic root of 12249150 is about 230.5164826825.

Adding to 12249150 its reverse (5194221), we get a triangular number (17443371 = T5906).

The spelling of 12249150 in words is "twelve million, two hundred forty-nine thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 127 150 254 381 635 643 762 1270 1286 1905 1929 3175 3215 3810 3858 6350 6430 9525 9645 16075 19050 19290 32150 48225 81661 96450 163322 244983 408305 489966 816610 1224915 2041525 2449830 4083050 6124575 12249150