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11415020320 = 2551110362969
BaseRepresentation
bin10101010000110001…
…10110001100100000
31002110112101010002101
422220120312030200
5141334221122240
65124411300144
7552606033424
oct125030661440
932415333071
1011415020320
1149285327a0
122266a4a654
1310cbbc78c2
147a4064b84
1546c21d39a
hex2a8636320

11415020320 has 96 divisors (see below), whose sum is σ = 29705719680. Its totient is φ = 4110551040.

The previous prime is 11415020299. The next prime is 11415020321. The reversal of 11415020320 is 2302051411.

It is not an unprimeable number, because it can be changed into a prime (11415020321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149796 + ... + 212764.

It is an arithmetic number, because the mean of its divisors is an integer number (309434580).

Almost surely, 211415020320 is an apocalyptic number.

11415020320 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 11415020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14852859840).

11415020320 is an abundant number, since it is smaller than the sum of its proper divisors (18290699360).

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

11415020320 is a wasteful number, since it uses less digits than its factorization.

11415020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63098 (or 63090 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 11415020320 its reverse (2302051411), we get a palindrome (13717071731).

The spelling of 11415020320 in words is "eleven billion, four hundred fifteen million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 103 110 160 176 206 220 352 412 440 515 824 880 1030 1133 1648 1760 2060 2266 3296 4120 4532 5665 8240 9064 11330 16480 18128 22660 36256 45320 62969 90640 125938 181280 251876 314845 503752 629690 692659 1007504 1259380 1385318 2015008 2518760 2770636 3463295 5037520 5541272 6485807 6926590 10075040 11082544 12971614 13853180 22165088 25943228 27706360 32429035 51886456 55412720 64858070 71343877 103772912 110825440 129716140 142687754 207545824 259432280 285375508 356719385 518864560 570751016 713438770 1037729120 1141502032 1426877540 2283004064 2853755080 5707510160 11415020320