Search a number
-
+
11413400 = 2352149383
BaseRepresentation
bin101011100010…
…011110011000
3210110212020112
4223202132120
510410212100
61044343452
7166004135
oct53423630
923425215
1011413400
116496069
1239a4b88
132497cbb
14173158c
151006b35
hexae2798

11413400 has 48 divisors (see below), whose sum is σ = 26784000. Its totient is φ = 4522880.

The previous prime is 11413399. The next prime is 11413403. The reversal of 11413400 is 431411.

It is a happy number.

11413400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11413403) 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, 29609 + ... + 29991.

It is an arithmetic number, because the mean of its divisors is an integer number (558000).

Almost surely, 211413400 is an apocalyptic number.

11413400 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 11413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13392000).

11413400 is an abundant number, since it is smaller than the sum of its proper divisors (15370600).

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

11413400 is a wasteful number, since it uses less digits than its factorization.

11413400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 11413400 is about 3378.3723891839. The cubic root of 11413400 is about 225.1498590135.

Adding to 11413400 its reverse (431411), we get a palindrome (11844811).

The spelling of 11413400 in words is "eleven million, four hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 149 200 298 383 596 745 766 1192 1490 1532 1915 2980 3064 3725 3830 5960 7450 7660 9575 14900 15320 19150 29800 38300 57067 76600 114134 228268 285335 456536 570670 1141340 1426675 2282680 2853350 5706700 11413400