Search a number
-
+
12115400 = 2352115507
BaseRepresentation
bin101110001101…
…110111001000
3211210112012112
4232031313020
511100143100
61111401452
7204656603
oct56156710
924715175
1012115400
116925530
124083288
13268269b
14187533a
1510e4b35
hexb8ddc8

12115400 has 48 divisors (see below), whose sum is σ = 30734640. Its totient is φ = 4404800.

The previous prime is 12115399. The next prime is 12115421. The reversal of 12115400 is 451121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 554 + ... + 4953.

It is an arithmetic number, because the mean of its divisors is an integer number (640305).

Almost surely, 212115400 is an apocalyptic number.

12115400 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 12115400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15367320).

12115400 is an abundant number, since it is smaller than the sum of its proper divisors (18619240).

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

12115400 is a wasteful number, since it uses less digits than its factorization.

12115400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5534 (or 5525 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 12115400 is about 3480.7183166697. The cubic root of 12115400 is about 229.6743974971.

Adding to 12115400 its reverse (451121), we get a palindrome (12566521).

The spelling of 12115400 in words is "twelve million, one hundred fifteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 5507 11014 22028 27535 44056 55070 60577 110140 121154 137675 220280 242308 275350 302885 484616 550700 605770 1101400 1211540 1514425 2423080 3028850 6057700 12115400