Search a number
11745104 = 247271211
BaseRepresentation
bin101100110011…
…011101010000
3211002201020212
4230303131100
511001320404
61055423252
7201555200
oct54633520
924081225
1011745104
1166a22a8
123b24b28
132582c87
1417ba400
15107006e
hexb33750

11745104 has 60 divisors (see below), whose sum is σ = 26971488. Its totient is φ = 4939200.

The previous prime is 11745091. The next prime is 11745109. The reversal of 11745104 is 40154711.

Adding to 11745104 its reverse (40154711), we get a palindrome (51899815).

It is a happy number.

11745104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11745104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11745109) 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, 55559 + ... + 55769.

Almost surely, 211745104 is an apocalyptic number.

11745104 is a gapful number since it is divisible by the number (14) 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 11745104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13485744).

11745104 is an abundant number, since it is smaller than the sum of its proper divisors (15226384).

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

11745104 is a wasteful number, since it uses less digits than its factorization.

11745104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 11745104 is about 3427.1130707930. The cubic root of 11745104 is about 227.3102164775.

The spelling of 11745104 in words is "eleven million, seven hundred forty-five thousand, one hundred four".