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11040412520 = 23529311317
BaseRepresentation
bin10100100100000111…
…10101001101101000
31001111102111001210102
422102003311031220
5140102321200040
65023310204532
7540406646414
oct122203651550
931442431712
1011040412520
114756030375
1221814b3748
13106c406b97
1476a3cdd44
154493c3515
hex2920f5368

11040412520 has 64 divisors (see below), whose sum is σ = 25730341200. Its totient is φ = 4263506688.

The previous prime is 11040412519. The next prime is 11040412541. The reversal of 11040412520 is 2521404011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4217982916 + 6822429604 = 64946^2 + 82598^2 .

It is a super-2 number, since 2×110404125202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11040412492 and 11040412501.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 969902 + ... + 981218.

Almost surely, 211040412520 is an apocalyptic number.

11040412520 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 11040412520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12865170600).

11040412520 is an abundant number, since it is smaller than the sum of its proper divisors (14689928680).

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

11040412520 is an equidigital number, since it uses as much as digits as its factorization.

11040412520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11415 (or 11353 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 11040412520 its reverse (2521404011), we get a palindrome (13561816531).

The spelling of 11040412520 in words is "eleven billion, forty million, four hundred twelve thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 841 1160 1682 3364 4205 6728 8410 11317 16820 22634 24389 33640 45268 48778 56585 90536 97556 113170 121945 195112 226340 243890 328193 452680 487780 656386 975560 1312772 1640965 2625544 3281930 6563860 9517597 13127720 19035194 38070388 47587985 76140776 95175970 190351940 276010313 380703880 552020626 1104041252 1380051565 2208082504 2760103130 5520206260 11040412520