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11460540 = 22357132099
BaseRepresentation
bin101011101101…
…111110111100
3210120020220110
4223231332330
510413214130
61045350020
7166261440
oct53557674
923506813
1011460540
116518523
123a08310
1324b35b0
141744820
151015ab0
hexaedfbc

11460540 has 96 divisors (see below), whose sum is σ = 39513600. Its totient is φ = 2416896.

The previous prime is 11460523. The next prime is 11460569. The reversal of 11460540 is 4506411.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4411 + ... + 6509.

It is an arithmetic number, because the mean of its divisors is an integer number (411600).

Almost surely, 211460540 is an apocalyptic number.

11460540 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 11460540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19756800).

11460540 is an abundant number, since it is smaller than the sum of its proper divisors (28053060).

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

11460540 is a wasteful number, since it uses less digits than its factorization.

11460540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 11460540 is about 3385.3419325084. The cubic root of 11460540 is about 225.4594070192.

Adding to 11460540 its reverse (4506411), we get a palindrome (15966951).

The spelling of 11460540 in words is "eleven million, four hundred sixty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2099 2730 4198 5460 6297 8396 10495 12594 14693 20990 25188 27287 29386 31485 41980 44079 54574 58772 62970 73465 81861 88158 109148 125940 136435 146930 163722 176316 191009 220395 272870 293860 327444 382018 409305 440790 545740 573027 764036 818610 881580 955045 1146054 1637220 1910090 2292108 2865135 3820180 5730270 11460540