Search a number
-
+
11240320 = 275713193
BaseRepresentation
bin101010111000…
…001110000000
3210011001211011
4222320032000
510334142240
61040530304
7164353420
oct52701600
923131734
1011240320
116388023
123920994
1324372a0
1416c8480
15ec06ea
hexab8380

11240320 has 128 divisors (see below), whose sum is σ = 33243840. Its totient is φ = 3538944.

The previous prime is 11240309. The next prime is 11240323. The reversal of 11240320 is 2304211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 11240320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11240323) 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, 58144 + ... + 58336.

Almost surely, 211240320 is an apocalyptic number.

11240320 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 11240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16621920).

11240320 is an abundant number, since it is smaller than the sum of its proper divisors (22003520).

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

11240320 is a wasteful number, since it uses less digits than its factorization.

11240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 11240320 is about 3352.6586465073. The cubic root of 11240320 is about 224.0059522228.

Adding to 11240320 its reverse (2304211), we get a palindrome (13544531).

The spelling of 11240320 in words is "eleven million, two hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 128 130 140 160 182 193 208 224 260 280 320 364 386 416 448 455 520 560 640 728 772 832 896 910 965 1040 1120 1351 1456 1544 1664 1820 1930 2080 2240 2509 2702 2912 3088 3640 3860 4160 4480 5018 5404 5824 6176 6755 7280 7720 8320 10036 10808 11648 12352 12545 13510 14560 15440 17563 20072 21616 24704 25090 27020 29120 30880 35126 40144 43232 50180 54040 58240 61760 70252 80288 86464 87815 100360 108080 123520 140504 160576 172928 175630 200720 216160 281008 321152 351260 401440 432320 562016 702520 802880 864640 1124032 1405040 1605760 2248064 2810080 5620160 11240320