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11028459240 = 2332530799787
BaseRepresentation
bin10100100010101100…
…01110111011101000
31001110120222202222100
422101112032323220
5140041241143430
65022202053400
7540203233251
oct122126167350
931416882870
1011028459240
11474a306727
1221794aa260
131069ab0236
1476899bb28
15448311960
hex29158eee8

11028459240 has 96 divisors (see below), whose sum is σ = 35959603680. Its totient is φ = 2931313536.

The previous prime is 11028459209. The next prime is 11028459241. The reversal of 11028459240 is 4295482011.

11028459240 is a `hidden beast` number, since 1 + 1 + 0 + 28 + 4 + 592 + 40 = 666.

11028459240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11028459195 and 11028459204.

It is not an unprimeable number, because it can be changed into a prime (11028459241) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 60627 + ... + 160413.

It is an arithmetic number, because the mean of its divisors is an integer number (374579205).

Almost surely, 211028459240 is an apocalyptic number.

11028459240 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 11028459240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17979801840).

11028459240 is an abundant number, since it is smaller than the sum of its proper divisors (24931144440).

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

11028459240 is a wasteful number, since it uses less digits than its factorization.

11028459240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100111 (or 100104 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 11028459240 in words is "eleven billion, twenty-eight million, four hundred fifty-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 307 360 614 921 1228 1535 1842 2456 2763 3070 3684 4605 5526 6140 7368 9210 11052 12280 13815 18420 22104 27630 36840 55260 99787 110520 199574 299361 399148 498935 598722 798296 898083 997870 1197444 1496805 1796166 1995740 2394888 2993610 3592332 3991480 4490415 5987220 7184664 8980830 11974440 17961660 30634609 35923320 61269218 91903827 122538436 153173045 183807654 245076872 275711481 306346090 367615308 459519135 551422962 612692180 735230616 919038270 1102845924 1225384360 1378557405 1838076540 2205691848 2757114810 3676153080 5514229620 11028459240