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11540304520 = 2356119923767
BaseRepresentation
bin10101011111101101…
…10001001010001000
31002210021010012200221
422233312301022020
5142113304221040
65145044435424
7555656653453
oct125766611210
932707105627
1011540304520
114992223658
1222a09a8b74
13111bb51a74
147b695849a
1547821974a
hex2afdb1288

11540304520 has 64 divisors (see below), whose sum is σ = 26525088000. Its totient is φ = 4517441280.

The previous prime is 11540304509. The next prime is 11540304577. The reversal of 11540304520 is 2540304511.

It is a happy number.

11540304520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 473677 + ... + 497443.

It is an arithmetic number, because the mean of its divisors is an integer number (414454500).

Almost surely, 211540304520 is an apocalyptic number.

11540304520 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 11540304520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13262544000).

11540304520 is an abundant number, since it is smaller than the sum of its proper divisors (14984783480).

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

11540304520 is a wasteful number, since it uses less digits than its factorization.

11540304520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24038 (or 24034 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Subtracting from 11540304520 its reverse (2540304511), we obtain a palindrome (9000000009).

The spelling of 11540304520 in words is "eleven billion, five hundred forty million, three hundred four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 199 244 305 398 488 610 796 995 1220 1592 1990 2440 3980 7960 12139 23767 24278 47534 48556 60695 95068 97112 118835 121390 190136 237670 242780 475340 485560 950680 1449787 2899574 4729633 5799148 7248935 9459266 11598296 14497870 18918532 23648165 28995740 37837064 47296330 57991480 94592660 189185320 288507613 577015226 1154030452 1442538065 2308060904 2885076130 5770152260 11540304520