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11145240 = 2332583373
BaseRepresentation
bin101010100001…
…000000011000
3202222020101200
4222201000120
510323121430
61034514200
7163506261
oct52410030
922866350
1011145240
116322647
123895960
132402c22
1416a1968
15ea2460
hexaa1018

11145240 has 96 divisors (see below), whose sum is σ = 36756720. Its totient is φ = 2928384.

The previous prime is 11145223. The next prime is 11145247. The reversal of 11145240 is 4254111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11145247) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 29694 + ... + 30066.

Almost surely, 211145240 is an apocalyptic number.

11145240 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 11145240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18378360).

11145240 is an abundant number, since it is smaller than the sum of its proper divisors (25611480).

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

11145240 is a wasteful number, since it uses less digits than its factorization.

11145240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 11145240 is about 3338.4487415565. The cubic root of 11145240 is about 223.3725531973.

Adding to 11145240 its reverse (4254111), we get a palindrome (15399351).

The spelling of 11145240 in words is "eleven million, one hundred forty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 83 90 120 166 180 249 332 360 373 415 498 664 746 747 830 996 1119 1245 1492 1494 1660 1865 1992 2238 2490 2984 2988 3320 3357 3730 3735 4476 4980 5595 5976 6714 7460 7470 8952 9960 11190 13428 14920 14940 16785 22380 26856 29880 30959 33570 44760 61918 67140 92877 123836 134280 154795 185754 247672 278631 309590 371508 464385 557262 619180 743016 928770 1114524 1238360 1393155 1857540 2229048 2786310 3715080 5572620 11145240