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11150040 = 2335118447
BaseRepresentation
bin101010100010…
…001011011000
3202222110222110
4222202023120
510323300130
61034552320
7163526256
oct52421330
922873873
1011150040
116326210
1238986a0
132405175
1416a35d6
15ea3ab0
hexaa22d8

11150040 has 64 divisors (see below), whose sum is σ = 36495360. Its totient is φ = 2702720.

The previous prime is 11150039. The next prime is 11150063. The reversal of 11150040 is 4005111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11149998 and 11150025.

It is a congruent number.

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, 2904 + ... + 5543.

It is an arithmetic number, because the mean of its divisors is an integer number (570240).

Almost surely, 211150040 is an apocalyptic number.

11150040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11150040 is an abundant number, since it is smaller than the sum of its proper divisors (25345320).

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

11150040 is a wasteful number, since it uses less digits than its factorization.

11150040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8472 (or 8468 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 11150040 is about 3339.1675609349. The cubic root of 11150040 is about 223.4046157451.

Adding to 11150040 its reverse (4005111), we get a palindrome (15155151).

Subtracting from 11150040 its reverse (4005111), we obtain a square (7144929 = 26732).

It can be divided in two parts, 11 and 150040, that added together give a palindrome (150051).

The spelling of 11150040 in words is "eleven million, one hundred fifty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 8447 16894 25341 33788 42235 50682 67576 84470 92917 101364 126705 168940 185834 202728 253410 278751 337880 371668 464585 506820 557502 743336 929170 1013640 1115004 1393755 1858340 2230008 2787510 3716680 5575020 11150040