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11240403420 = 22351928334841
BaseRepresentation
bin10100111011111101…
…01111000111011100
31002000100210122201210
422131332233013130
5141010020402140
65055212504420
7545355565311
oct123576570734
932010718653
1011240403420
114848a07504
12221847b110
1310a1989cac
14788bacd08
1545bc29d80
hex29dfaf1dc

11240403420 has 96 divisors (see below), whose sum is σ = 33247630080. Its totient is φ = 2829565440.

The previous prime is 11240403413. The next prime is 11240403437. The reversal of 11240403420 is 2430404211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305200 + ... + 340040.

It is an arithmetic number, because the mean of its divisors is an integer number (346329480).

Almost surely, 211240403420 is an apocalyptic number.

11240403420 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 11240403420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16623815040).

11240403420 is an abundant number, since it is smaller than the sum of its proper divisors (22007226660).

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

11240403420 is a wasteful number, since it uses less digits than its factorization.

11240403420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35155 (or 35153 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 11240403420 its reverse (2430404211), we get a palindrome (13670807631).

The spelling of 11240403420 in words is "eleven billion, two hundred forty million, four hundred three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 283 285 380 566 570 849 1132 1140 1415 1698 2830 3396 4245 5377 5660 8490 10754 16131 16980 21508 26885 32262 34841 53770 64524 69682 80655 104523 107540 139364 161310 174205 209046 322620 348410 418092 522615 661979 696820 1045230 1323958 1985937 2090460 2647916 3309895 3971874 6619790 7943748 9860003 9929685 13239580 19720006 19859370 29580009 39440012 39718740 49300015 59160018 98600030 118320036 147900045 187340057 197200060 295800090 374680114 562020171 591600180 749360228 936700285 1124040342 1873400570 2248080684 2810100855 3746801140 5620201710 11240403420