Search a number
-
+
11411040 = 253523773
BaseRepresentation
bin101011100001…
…111001100000
3210110202000010
4223201321200
510410123130
61044324520
7165664224
oct53417140
923422003
1011411040
116494313
1239a3740
132496bc4
141730784
1510060b0
hexae1e60

11411040 has 48 divisors (see below), whose sum is σ = 35946288. Its totient is φ = 3042816.

The previous prime is 11411033. The next prime is 11411047. The reversal of 11411040 is 4011411.

It is an interprime number because it is at equal distance from previous prime (11411033) and next prime (11411047).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11411047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11407 + ... + 12366.

It is an arithmetic number, because the mean of its divisors is an integer number (748881).

Almost surely, 211411040 is an apocalyptic number.

11411040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11411040 is an abundant number, since it is smaller than the sum of its proper divisors (24535248).

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

11411040 is a wasteful number, since it uses less digits than its factorization.

11411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23791 (or 23783 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 11411040 is about 3378.0230905072. The cubic root of 11411040 is about 225.1343395278.

Adding to 11411040 its reverse (4011411), we get a palindrome (15422451).

The spelling of 11411040 in words is "eleven million, four hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 23773 47546 71319 95092 118865 142638 190184 237730 285276 356595 380368 475460 570552 713190 760736 950920 1141104 1426380 1901840 2282208 2852760 3803680 5705520 11411040