Search a number
-
+
11391440 = 2452341151
BaseRepresentation
bin101011011101…
…000111010000
3210102202010012
4223131013100
510404011230
61044054052
7165553124
oct53350720
923382105
1011391440
116480615
123994328
13248acc8
141727584
151000395
hexadd1d0

11391440 has 80 divisors (see below), whose sum is σ = 28498176. Its totient is φ = 4224000.

The previous prime is 11391433. The next prime is 11391451. The reversal of 11391440 is 4419311.

11391440 = T41 + T42 + ... + T408.

11391440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75365 + ... + 75515.

Almost surely, 211391440 is an apocalyptic number.

11391440 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 11391440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14249088).

11391440 is an abundant number, since it is smaller than the sum of its proper divisors (17106736).

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

11391440 is a wasteful number, since it uses less digits than its factorization.

11391440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 11391440 is about 3375.1207385811. The cubic root of 11391440 is about 225.0053661272.

The spelling of 11391440 in words is "eleven million, three hundred ninety-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 41 46 80 82 92 115 151 164 184 205 230 302 328 368 410 460 604 656 755 820 920 943 1208 1510 1640 1840 1886 2416 3020 3280 3473 3772 4715 6040 6191 6946 7544 9430 12080 12382 13892 15088 17365 18860 24764 27784 30955 34730 37720 49528 55568 61910 69460 75440 99056 123820 138920 142393 247640 277840 284786 495280 569572 711965 1139144 1423930 2278288 2847860 5695720 11391440