Search a number
-
+
11335248 = 2433191381
BaseRepresentation
bin101011001111…
…011001010000
3210022220001000
4223033121100
510400211443
61042542000
7165230241
oct53173120
923286030
1011335248
116442381
123967900
13246b562
141710cc8
15edd8d3
hexacf650

11335248 has 80 divisors (see below), whose sum is σ = 34273600. Its totient is φ = 3576960.

The previous prime is 11335241. The next prime is 11335249. The reversal of 11335248 is 84253311.

It is a happy number.

11335248 is a `hidden beast` number, since 1 + 133 + 524 + 8 = 666.

11335248 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11335241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7518 + ... + 8898.

It is an arithmetic number, because the mean of its divisors is an integer number (428420).

Almost surely, 211335248 is an apocalyptic number.

11335248 is a gapful number since it is divisible by the number (18) 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 11335248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17136800).

11335248 is an abundant number, since it is smaller than the sum of its proper divisors (22938352).

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

11335248 is a wasteful number, since it uses less digits than its factorization.

11335248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1405 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 11335248 is about 3366.7860044856. The cubic root of 11335248 is about 224.6347852906.

Adding to 11335248 its reverse (84253311), we get a palindrome (95588559).

The spelling of 11335248 in words is "eleven million, three hundred thirty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 1381 2052 2736 2762 4104 4143 5524 8208 8286 11048 12429 16572 22096 24858 26239 33144 37287 49716 52478 66288 74574 78717 99432 104956 149148 157434 198864 209912 236151 298296 314868 419824 472302 596592 629736 708453 944604 1259472 1416906 1889208 2833812 3778416 5667624 11335248