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11430540 = 223251123251
BaseRepresentation
bin101011100110…
…101010001100
3210111201202100
4223212222030
510411234130
61044555100
7166105122
oct53465214
923451670
1011430540
1164a7a30
1239b2a90
1324a2a44
141737912
15100bc60
hexae6a8c

11430540 has 144 divisors (see below), whose sum is σ = 39626496. Its totient is φ = 2640000.

The previous prime is 11430539. The next prime is 11430547. The reversal of 11430540 is 4503411.

It is a happy number.

11430540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (11430547) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45415 + ... + 45665.

It is an arithmetic number, because the mean of its divisors is an integer number (275184).

Almost surely, 211430540 is an apocalyptic number.

11430540 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 11430540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19813248).

11430540 is an abundant number, since it is smaller than the sum of its proper divisors (28195956).

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

11430540 is a wasteful number, since it uses less digits than its factorization.

11430540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 11430540 is about 3380.9081620180. The cubic root of 11430540 is about 225.2625084260.

Adding to 11430540 its reverse (4503411), we get a palindrome (15933951).

The spelling of 11430540 in words is "eleven million, four hundred thirty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 23 30 33 36 44 45 46 55 60 66 69 90 92 99 110 115 132 138 165 180 198 207 220 230 251 253 276 330 345 396 414 460 495 502 506 660 690 753 759 828 990 1004 1012 1035 1255 1265 1380 1506 1518 1980 2070 2259 2277 2510 2530 2761 3012 3036 3765 3795 4140 4518 4554 5020 5060 5522 5773 7530 7590 8283 9036 9108 11044 11295 11385 11546 13805 15060 15180 16566 17319 22590 22770 23092 24849 27610 28865 33132 34638 41415 45180 45540 49698 51957 55220 57730 63503 69276 82830 86595 99396 103914 115460 124245 127006 165660 173190 190509 207828 248490 254012 259785 317515 346380 381018 496980 519570 571527 635030 762036 952545 1039140 1143054 1270060 1905090 2286108 2857635 3810180 5715270 11430540