Search a number
-
+
11232240 = 2435172753
BaseRepresentation
bin101010110110…
…001111110000
3210010122201220
4222312033300
510333412430
61040425040
7164321025
oct52661760
923118656
1011232240
116381a48
123918180
1324336c6
1416c554c
15ebd110
hexab63f0

11232240 has 80 divisors (see below), whose sum is σ = 36881568. Its totient is φ = 2818048.

The previous prime is 11232233. The next prime is 11232259. The reversal of 11232240 is 4223211.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2704 + ... + 5456.

Almost surely, 211232240 is an apocalyptic number.

11232240 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 11232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18440784).

11232240 is an abundant number, since it is smaller than the sum of its proper divisors (25649328).

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

11232240 is a wasteful number, since it uses less digits than its factorization.

11232240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2786 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 11232240 is about 3351.4534160570. The cubic root of 11232240 is about 223.9522644879.

Adding to 11232240 its reverse (4223211), we get a palindrome (15455451).

The spelling of 11232240 in words is "eleven million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 2753 4080 5506 8259 11012 13765 16518 22024 27530 33036 41295 44048 46801 55060 66072 82590 93602 110120 132144 140403 165180 187204 220240 234005 280806 330360 374408 468010 561612 660720 702015 748816 936020 1123224 1404030 1872040 2246448 2808060 3744080 5616120 11232240