Search a number
-
+
11016240 = 2435197233
BaseRepresentation
bin101010000001…
…100000110000
3202201200102220
4222001200300
510310004430
61032041040
7162431214
oct52014060
922650386
1011016240
116244734
123833180
1323892b1
14166a944
15e79110
hexa81830

11016240 has 80 divisors (see below), whose sum is σ = 34471008. Its totient is φ = 2910208.

The previous prime is 11016217. The next prime is 11016251. The reversal of 11016240 is 4261011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47164 + ... + 47396.

Almost surely, 211016240 is an apocalyptic number.

11016240 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 11016240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17235504).

11016240 is an abundant number, since it is smaller than the sum of its proper divisors (23454768).

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

11016240 is a wasteful number, since it uses less digits than its factorization.

11016240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 11016240 is about 3319.0721595048. The cubic root of 11016240 is about 222.5074020178.

Adding to 11016240 its reverse (4261011), we get a palindrome (15277251).

The spelling of 11016240 in words is "eleven million, sixteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 197 233 240 394 466 591 699 788 932 985 1165 1182 1398 1576 1864 1970 2330 2364 2796 2955 3152 3495 3728 3940 4660 4728 5592 5910 6990 7880 9320 9456 11184 11820 13980 15760 18640 23640 27960 45901 47280 55920 91802 137703 183604 229505 275406 367208 459010 550812 688515 734416 918020 1101624 1377030 1836040 2203248 2754060 3672080 5508120 11016240