Search a number
-
+
11417024 = 261941229
BaseRepresentation
bin101011100011…
…010111000000
3210111001012202
4223203113000
510410321044
61044412332
7166020533
oct53432700
923431182
1011417024
116498863
1239a70a8
132499848
141732a1a
151007c4e
hexae35c0

11417024 has 56 divisors (see below), whose sum is σ = 24536400. Its totient is φ = 5253120.

The previous prime is 11417017. The next prime is 11417033. The reversal of 11417024 is 42071411.

It is a junction number, because it is equal to n+sod(n) for n = 11416987 and 11417005.

It is a congruent number.

It is an unprimeable number.

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, 49742 + ... + 49970.

It is an arithmetic number, because the mean of its divisors is an integer number (438150).

Almost surely, 211417024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11417024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12268200).

11417024 is an abundant number, since it is smaller than the sum of its proper divisors (13119376).

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

11417024 is a wasteful number, since it uses less digits than its factorization.

11417024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 11417024 is about 3378.9086995656. The cubic root of 11417024 is about 225.1736864661.

Adding to 11417024 its reverse (42071411), we get a palindrome (53488435).

The spelling of 11417024 in words is "eleven million, four hundred seventeen thousand, twenty-four".

Divisors: 1 2 4 8 16 19 32 38 41 64 76 82 152 164 229 304 328 458 608 656 779 916 1216 1312 1558 1832 2624 3116 3664 4351 6232 7328 8702 9389 12464 14656 17404 18778 24928 34808 37556 49856 69616 75112 139232 150224 178391 278464 300448 356782 600896 713564 1427128 2854256 5708512 11417024